3640965120 has 384 divisors, whose sum is σ = 13951828800. Its totient is φ = 895352832.

The previous prime is 3640965103. The next prime is 3640965127. The reversal of 3640965120 is 215690463.

It is a happy number.

3640965120 is a `hidden beast` number, since 3 + 640 + 9 + 6 + 5 + 1 + 2 + 0 = 666.

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

It is a super-2 number, since 2×3640965120² = 26513254010113228800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640965127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3593734 + ... + 3594746.

Almost surely, 2^3640965120 is an apocalyptic number.

3640965120 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 3640965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6975914400).

3640965120 is an abundant number, since it is smaller than the sum of its proper divisors (10310863680).

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

3640965120 is a wasteful number, since it uses less digits than its factorization.

3640965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3640965120 is about 60340.4103400035. The cubic root of 3640965120 is about 1538.4102783331.

The spelling of 3640965120 in words is "three billion, six hundred forty million, nine hundred sixty-five thousand, one hundred twenty".