38672780160 has 512 divisors, whose sum is σ = 143887564800. Its totient is φ = 8653381632.

The previous prime is 38672780143. The next prime is 38672780171. The reversal of 38672780160 is 6108727683.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237256239 + ... + 237256401.

It is an arithmetic number, because the mean of its divisors is an integer number (281030400).

Almost surely, 2^38672780160 is an apocalyptic number.

38672780160 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 38672780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71943782400).

38672780160 is an abundant number, since it is smaller than the sum of its proper divisors (105214784640).

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

38672780160 is a wasteful number, since it uses less digits than its factorization.

38672780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 38672780160 in words is "thirty-eight billion, six hundred seventy-two million, seven hundred eighty thousand, one hundred sixty".