38745195264 has 252 divisors, whose sum is σ = 119970740400. Its totient is φ = 12467976192.

The previous prime is 38745195259. The next prime is 38745195271. The reversal of 38745195264 is 46259154783.

It is a happy number.

38745195264 is a `hidden beast` number, since 3 + 8 + 74 + 519 + 52 + 6 + 4 = 666.

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 38745195264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5408517 + ... + 5415675.

Almost surely, 2^38745195264 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 38745195264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59985370200).

38745195264 is an abundant number, since it is smaller than the sum of its proper divisors (81225545136).

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

38745195264 is an frugal number, since it uses more digits than its factorization.

38745195264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7222 (or 7193 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

It can be divided in two parts, 3874519 and 5264, that added together give a palindrome (3879783).

The spelling of 38745195264 in words is "thirty-eight billion, seven hundred forty-five million, one hundred ninety-five thousand, two hundred sixty-four".