38007313344000 has 7680 divisors, whose sum is σ = 199034680965120. Its totient is φ = 7023034368000.

The previous prime is 38007313343999. The next prime is 38007313344023. The reversal of 38007313344000 is 44331370083.

38007313344000 is a `hidden beast` number, since 3 + 80 + 0 + 7 + 3 + 133 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

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 767 ways as a sum of consecutive naturals, for example, 520648127964 + ... + 520648128036.

It is an arithmetic number, because the mean of its divisors is an integer number (25915974084).

Almost surely, 2^{38007313344000} is an apocalyptic number.

38007313344000 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 38007313344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99517340482560).

38007313344000 is an abundant number, since it is smaller than the sum of its proper divisors (161027367621120).

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

38007313344000 is a wasteful number, since it uses less digits than its factorization.

38007313344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 38007313344000 in words is "thirty-eight trillion, seven billion, three hundred thirteen million, three hundred forty-four thousand".