38151171072 has 616 divisors, whose sum is σ = 134242260000. Its totient is φ = 10827177984.

The previous prime is 38151171053. The next prime is 38151171089. The reversal of 38151171072 is 27017115183.

38151171072 is a `hidden beast` number, since 3 + 8 + 1 + 511 + 71 + 0 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 256048054 + ... + 256048202.

Almost surely, 2^38151171072 is an apocalyptic number.

38151171072 is a gapful number since it is divisible by the number (32) 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 38151171072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67121130000).

38151171072 is an abundant number, since it is smaller than the sum of its proper divisors (96091088928).

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

38151171072 is an frugal number, since it uses more digits than its factorization.

38151171072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 38151171072 in words is "thirty-eight billion, one hundred fifty-one million, one hundred seventy-one thousand, seventy-two".