38016967680 has 660 divisors, whose sum is σ = 142385348820. Its totient is φ = 9698476032.

The previous prime is 38016967669. The next prime is 38016967693. The reversal of 38016967680 is 8676961083.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 113550336 + 37903417344 = 10656^2 + 194688^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 348779466 + ... + 348779574.

It is an arithmetic number, because the mean of its divisors is an integer number (215735377).

Almost surely, 2^38016967680 is an apocalyptic number.

38016967680 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 38016967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71192674410).

38016967680 is an abundant number, since it is smaller than the sum of its proper divisors (104368381140).

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

38016967680 is a wasteful number, since it uses less digits than its factorization.

38016967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 38016967680 in words is "thirty-eight billion, sixteen million, nine hundred sixty-seven thousand, six hundred eighty".