38372740456960 has 960 divisors, whose sum is σ = 121020284563200. Its totient is φ = 11425534967808.

The previous prime is 38372740456937. The next prime is 38372740457003. The reversal of 38372740456960 is 6965404727383.

It is a super-2 number, since 2×38372740456960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 38372740456892 and 38372740456901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14878920951 + ... + 14878923529.

It is an arithmetic number, because the mean of its divisors is an integer number (126062796420).

Almost surely, 2^{38372740456960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38372740456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60510142281600).

38372740456960 is an abundant number, since it is smaller than the sum of its proper divisors (82647544106240).

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

38372740456960 is an equidigital number, since it uses as much as digits as its factorization.

38372740456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 64.

The spelling of 38372740456960 in words is "thirty-eight trillion, three hundred seventy-two billion, seven hundred forty million, four hundred fifty-six thousand, nine hundred sixty".