38856609792 has 1092 divisors, whose sum is σ = 157282140384. Its totient is φ = 9316270080.

The previous prime is 38856609731. The next prime is 38856609797. The reversal of 38856609792 is 29790665883.

It is a tau number, because it is divible by the number of its divisors (1092).

It is a super-2 number, since 2×38856609792² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38856609797) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2988969978 + ... + 2988969990.

Almost surely, 2^38856609792 is an apocalyptic number.

38856609792 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 38856609792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78641070192).

38856609792 is an abundant number, since it is smaller than the sum of its proper divisors (118425530592).

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

38856609792 is an equidigital number, since it uses as much as digits as its factorization.

38856609792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 36 counting only the distinct ones).

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

The spelling of 38856609792 in words is "thirty-eight billion, eight hundred fifty-six million, six hundred nine thousand, seven hundred ninety-two".