38980968463360 has 1056 divisors, whose sum is σ = 120873589514496. Its totient is φ = 12025329254400.

The previous prime is 38980968463303. The next prime is 38980968463417. The reversal of 38980968463360 is 6336486908983.

38980968463360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38980968463303) and next prime (38980968463417).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35729576415 + ... + 35729577505.

Almost surely, 2^{38980968463360} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38980968463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60436794757248).

38980968463360 is an abundant number, since it is smaller than the sum of its proper divisors (81892621051136).

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

38980968463360 is a wasteful number, since it uses less digits than its factorization.

38980968463360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 967458816, while the sum is 73.

The spelling of 38980968463360 in words is "thirty-eight trillion, nine hundred eighty billion, nine hundred sixty-eight million, four hundred sixty-three thousand, three hundred sixty".