38856609792000 has 5376 divisors, whose sum is σ = 196309079591040. Its totient is φ = 7453016064000.

The previous prime is 38856609791983. The next prime is 38856609792029. The reversal of 38856609792000 is 29790665883.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-2 number, since 2×38856609792000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2988969983994 + ... + 2988969984006.

Almost surely, 2^{38856609792000} is an apocalyptic number.

38856609792000 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 38856609792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98154539795520).

38856609792000 is an abundant number, since it is smaller than the sum of its proper divisors (157452469799040).

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

38856609792000 is an frugal number, since it uses more digits than its factorization.

38856609792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 38856609792000 in words is "thirty-eight trillion, eight hundred fifty-six billion, six hundred nine million, seven hundred ninety-two thousand".