38196555264 has 960 divisors, whose sum is σ = 145096427520. Its totient is φ = 9847111680.

The previous prime is 38196555253. The next prime is 38196555289. The reversal of 38196555264 is 46255569183.

38196555264 is a `hidden beast` number, since 3 + 81 + 9 + 6 + 5 + 552 + 6 + 4 = 666.

It is a super-2 number, since 2×38196555264² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38196555264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 356977099 + ... + 356977205.

It is an arithmetic number, because the mean of its divisors is an integer number (151142112).

Almost surely, 2^38196555264 is an apocalyptic number.

38196555264 is a gapful number since it is divisible by the number (34) 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 38196555264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72548213760).

38196555264 is an abundant number, since it is smaller than the sum of its proper divisors (106899872256).

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

38196555264 is a wasteful number, since it uses less digits than its factorization.

38196555264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 38196555264 in words is "thirty-eight billion, one hundred ninety-six million, five hundred fifty-five thousand, two hundred sixty-four".