38610213131952 has 1280 divisors, whose sum is σ = 145665648230400. Its totient is φ = 9579826713600.

The previous prime is 38610213131939. The next prime is 38610213131999. The reversal of 38610213131952 is 25913131201683.

38610213131952 is a `hidden beast` number, since 3 + 8 + 610 + 2 + 1 + 3 + 13 + 19 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38610213131898 and 38610213131907.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9857085898 + ... + 9857089814.

It is an arithmetic number, because the mean of its divisors is an integer number (113801287680).

Almost surely, 2^{38610213131952} 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 38610213131952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72832824115200).

38610213131952 is an abundant number, since it is smaller than the sum of its proper divisors (107055435098448).

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

38610213131952 is a wasteful number, since it uses less digits than its factorization.

38610213131952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 38610213131952 in words is "thirty-eight trillion, six hundred ten billion, two hundred thirteen million, one hundred thirty-one thousand, nine hundred fifty-two".