3640999010112 has 336 divisors, whose sum is σ = 11254589632000. Its totient is φ = 1121694594048.

The previous prime is 3640999010081. The next prime is 3640999010119. The reversal of 3640999010112 is 2110109990463.

3640999010112 is a `hidden beast` number, since 36 + 409 + 9 + 90 + 10 + 112 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640999010119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432469839 + ... + 432478257.

Almost surely, 2^{3640999010112} is an apocalyptic number.

3640999010112 is a gapful number since it is divisible by the number (32) 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 3640999010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5627294816000).

3640999010112 is an abundant number, since it is smaller than the sum of its proper divisors (7613590621888).

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

3640999010112 is a wasteful number, since it uses less digits than its factorization.

3640999010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9418 (or 9405 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 3640999010112 in words is "three trillion, six hundred forty billion, nine hundred ninety-nine million, ten thousand, one hundred twelve".