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3659420544 = 2731321731107
BaseRepresentation
bin1101101000011110…
…0101001110000000
3100110000211211021020
43122013211032000
524443302424134
61403042025440
7156453363363
oct33207451600
910400754236
103659420544
1116087138aa
12861648280
134641b6400
1426a01a0da
151663ecb49
hexda1e5380

3659420544 has 384 divisors, whose sum is σ = 11611745280. Its totient is φ = 1015971840.

The previous prime is 3659420507. The next prime is 3659420573. The reversal of 3659420544 is 4450249563.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 3659420496 and 3659420505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34200139 + ... + 34200245.

It is an arithmetic number, because the mean of its divisors is an integer number (30238920).

Almost surely, 23659420544 is an apocalyptic number.

3659420544 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3659420544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805872640).

3659420544 is an abundant number, since it is smaller than the sum of its proper divisors (7952324736).

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

3659420544 is a wasteful number, since it uses less digits than its factorization.

3659420544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 3659420544 is about 60493.1446033350. The cubic root of 3659420544 is about 1541.0052109279.

The spelling of 3659420544 in words is "three billion, six hundred fifty-nine million, four hundred twenty thousand, five hundred forty-four".