38129166720 has 1024 divisors, whose sum is σ = 152285184000. Its totient is φ = 8971223040.

The previous prime is 38129166697. The next prime is 38129166739. The reversal of 38129166720 is 2766192183.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 482647641 + ... + 482647719.

It is an arithmetic number, because the mean of its divisors is an integer number (148716000).

Almost surely, 2^38129166720 is an apocalyptic number.

38129166720 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 38129166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76142592000).

38129166720 is an abundant number, since it is smaller than the sum of its proper divisors (114156017280).

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

38129166720 is a wasteful number, since it uses less digits than its factorization.

38129166720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 38129166720 in words is "thirty-eight billion, one hundred twenty-nine million, one hundred sixty-six thousand, seven hundred twenty".