38087700672 has 112 divisors (see below), whose sum is σ = 115687319552. Its totient is φ = 10833315840.

The previous prime is 38087700667. The next prime is 38087700689. The reversal of 38087700672 is 27600778083.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236172 + ... + 363252.

It is an arithmetic number, because the mean of its divisors is an integer number (1032922496).

Almost surely, 2^38087700672 is an apocalyptic number.

38087700672 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 38087700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57843659776).

38087700672 is an abundant number, since it is smaller than the sum of its proper divisors (77599618880).

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

38087700672 is a wasteful number, since it uses less digits than its factorization.

38087700672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127326 (or 127316 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 38087700672 in words is "thirty-eight billion, eighty-seven million, seven hundred thousand, six hundred seventy-two".