38129253120 has 720 divisors, whose sum is σ = 157701696768. Its totient is φ = 8616222720.

The previous prime is 38129253109. The next prime is 38129253133. The reversal of 38129253120 is 2135292183.

38129253120 is a `hidden beast` number, since 3 + 8 + 12 + 92 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77656075 + ... + 77656565.

Almost surely, 2^38129253120 is an apocalyptic number.

38129253120 is a gapful number since it is divisible by the number (30) 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 38129253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78850848384).

38129253120 is an abundant number, since it is smaller than the sum of its proper divisors (119572443648).

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

38129253120 is a wasteful number, since it uses less digits than its factorization.

38129253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 38129253120 in words is "thirty-eight billion, one hundred twenty-nine million, two hundred fifty-three thousand, one hundred twenty".