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3669122340 = 22335132967269
BaseRepresentation
bin1101101010110010…
…0101110100100100
3100110201002201122000
43122230211310210
530003243403330
61404030005300
7156632011452
oct33254456444
910421081560
103669122340
11161313aa14
12864946830
13466202310
1426b4239d2
151671b7560
hexdab25d24

3669122340 has 384 divisors, whose sum is σ = 12954816000. Its totient is φ = 855816192.

The previous prime is 3669122321. The next prime is 3669122371. The reversal of 3669122340 is 432219663.

3669122340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3669122295 and 3669122304.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13639726 + ... + 13639994.

It is an arithmetic number, because the mean of its divisors is an integer number (33736500).

Almost surely, 23669122340 is an apocalyptic number.

3669122340 is a gapful number since it is divisible by the number (30) 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 3669122340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6477408000).

3669122340 is an abundant number, since it is smaller than the sum of its proper divisors (9285693660).

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

3669122340 is a wasteful number, since it uses less digits than its factorization.

3669122340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3669122340 is about 60573.2807432452. The cubic root of 3669122340 is about 1542.3658384961.

The spelling of 3669122340 in words is "three billion, six hundred sixty-nine million, one hundred twenty-two thousand, three hundred forty".