38961636180480 has 3360 divisors, whose sum is σ = 163355062856832. Its totient is φ = 8881510809600.

The previous prime is 38961636180443. The next prime is 38961636180497. The reversal of 38961636180480 is 8408163616983.

38961636180480 is a `hidden beast` number, since 3 + 8 + 9 + 6 + 1 + 6 + 3 + 618 + 0 + 4 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 297417070015 + ... + 297417070145.

Almost surely, 2^{38961636180480} is an apocalyptic number.

38961636180480 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 38961636180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81677531428416).

38961636180480 is an abundant number, since it is smaller than the sum of its proper divisors (124393426676352).

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

38961636180480 is a wasteful number, since it uses less digits than its factorization.

38961636180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 38961636180480 in words is "thirty-eight trillion, nine hundred sixty-one billion, six hundred thirty-six million, one hundred eighty thousand, four hundred eighty".