38006569656 has 512 divisors, whose sum is σ = 127401984000. Its totient is φ = 10363852800.

The previous prime is 38006569631. The next prime is 38006569663. The reversal of 38006569656 is 65696560083.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 159023185 + ... + 159023423.

It is an arithmetic number, because the mean of its divisors is an integer number (248832000).

Almost surely, 2^38006569656 is an apocalyptic number.

38006569656 is a gapful number since it is divisible by the number (36) 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 38006569656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63700992000).

38006569656 is an abundant number, since it is smaller than the sum of its proper divisors (89395414344).

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

38006569656 is a wasteful number, since it uses less digits than its factorization.

38006569656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

It can be divided in two parts, 38006569 and 656, that added together give a square (38007225 = 6165²).

The spelling of 38006569656 in words is "thirty-eight billion, six million, five hundred sixty-nine thousand, six hundred fifty-six".