38295641952 has 36 divisors (see below), whose sum is σ = 108903232620. Its totient is φ = 12765213888.

The previous prime is 38295641941. The next prime is 38295641963. The reversal of 38295641952 is 25914659283.

38295641952 is a `hidden beast` number, since 3 + 8 + 29 + 564 + 1 + 9 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (38295641941) and next prime (38295641963).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66485202 + ... + 66485777.

It is an arithmetic number, because the mean of its divisors is an integer number (3025089795).

Almost surely, 2^38295641952 is an apocalyptic number.

38295641952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38295641952 is an abundant number, since it is smaller than the sum of its proper divisors (70607590668).

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

38295641952 is a wasteful number, since it uses less digits than its factorization.

38295641952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132970995 (or 132970984 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 38295641952 in words is "thirty-eight billion, two hundred ninety-five million, six hundred forty-one thousand, nine hundred fifty-two".