3656320920 has 192 divisors, whose sum is σ = 13605433920. Its totient is φ = 834204672.

The previous prime is 3656320903. The next prime is 3656320933. The reversal of 3656320920 is 290236563.

3656320920 is a `hidden beast` number, since 3 + 6 + 563 + 2 + 0 + 92 + 0 = 666.

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

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, 1947022 + ... + 1948898.

It is an arithmetic number, because the mean of its divisors is an integer number (70861635).

Almost surely, 2^3656320920 is an apocalyptic number.

3656320920 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 3656320920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6802716960).

3656320920 is an abundant number, since it is smaller than the sum of its proper divisors (9949113000).

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

3656320920 is a wasteful number, since it uses less digits than its factorization.

3656320920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3656320920 is about 60467.5195456205. The cubic root of 3656320920 is about 1540.5699975810.

The spelling of 3656320920 in words is "three billion, six hundred fifty-six million, three hundred twenty thousand, nine hundred twenty".