38496876480 has 336 divisors, whose sum is σ = 139923280224. Its totient is φ = 10071060480.

The previous prime is 38496876479. The next prime is 38496876511. The reversal of 38496876480 is 8467869483.

38496876480 is a `hidden beast` number, since 3 + 8 + 496 + 8 + 7 + 64 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4116610 + ... + 4125950.

It is an arithmetic number, because the mean of its divisors is an integer number (416438334).

Almost surely, 2^38496876480 is an apocalyptic number.

38496876480 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 38496876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69961640112).

38496876480 is an abundant number, since it is smaller than the sum of its proper divisors (101426403744).

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

38496876480 is an equidigital number, since it uses as much as digits as its factorization.

38496876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9426 (or 9404 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 38496876480 in words is "thirty-eight billion, four hundred ninety-six million, eight hundred seventy-six thousand, four hundred eighty".