3652493869440 has 2048 divisors, whose sum is σ = 15101614080000. Its totient is φ = 832230457344.

The previous prime is 3652493869439. The next prime is 3652493869477. The reversal of 3652493869440 is 449683942563.

3652493869440 is a `hidden beast` number, since 3 + 6 + 5 + 24 + 93 + 86 + 9 + 440 = 666.

It is a super-2 number, since 2×3652493869440² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 41039256916 + ... + 41039257004.

It is an arithmetic number, because the mean of its divisors is an integer number (7373835000).

Almost surely, 2^{3652493869440} is an apocalyptic number.

3652493869440 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 3652493869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7550807040000).

3652493869440 is an abundant number, since it is smaller than the sum of its proper divisors (11449120210560).

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

3652493869440 is a wasteful number, since it uses less digits than its factorization.

3652493869440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 3652493869440 in words is "three trillion, six hundred fifty-two billion, four hundred ninety-three million, eight hundred sixty-nine thousand, four hundred forty".