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3645840436 = 2273137611861
BaseRepresentation
bin1101100101001111…
…0001110000110100
3100102002021212212021
43121103301300310
524431313343221
61401435002524
7156230063260
oct33123616064
910362255767
103645840436
111600a88977
12858b99444
13461440144
142682c30a0
15165119041
hexd94f1c34

3645840436 has 96 divisors (see below), whose sum is σ = 7861274624. Its totient is φ = 1446336000.

The previous prime is 3645840413. The next prime is 3645840461. The reversal of 3645840436 is 6340485463.

3645840436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3645840392 and 3645840401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1958146 + ... + 1960006.

Almost surely, 23645840436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3645840436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930637312).

3645840436 is an abundant number, since it is smaller than the sum of its proper divisors (4215434188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3645840436 is a wasteful number, since it uses less digits than its factorization.

3645840436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The square root of 3645840436 is about 60380.7952580951. The cubic root of 3645840436 is about 1539.0966248407.

The spelling of 3645840436 in words is "three billion, six hundred forty-five million, eight hundred forty thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 31 37 61 62 74 122 124 148 217 244 259 427 434 518 854 868 1036 1147 1708 1861 1891 2257 2294 3722 3782 4514 4588 7444 7564 8029 9028 13027 13237 15799 16058 26054 26474 31598 32116 52108 52948 57691 63196 68857 69967 113521 115382 137714 139934 227042 230764 275428 279868 403837 454084 481999 489769 794647 807674 963998 979538 1589294 1615348 1927996 1959076 2134567 3178588 3519151 4200277 4269134 7038302 8400554 8538268 14076604 14941969 16801108 24634057 29401939 29883938 49268114 58803878 59767876 98536228 117607756 130208587 260417174 520834348 911460109 1822920218 3645840436