38495873534976 has 2816 divisors, whose sum is σ = 148466230886400. Its totient is φ = 9674588160000.

The previous prime is 38495873534929. The next prime is 38495873535073. The reversal of 38495873534976 is 67943537859483.

38495873534976 is a `hidden beast` number, since 3 + 8 + 4 + 9 + 5 + 8 + 7 + 3 + 534 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a junction number, because it is equal to n+sod(n) for n = 38495873534895 and 38495873534904.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 142051193721 + ... + 142051193991.

Almost surely, 2^{38495873534976} is an apocalyptic number.

38495873534976 is a gapful number since it is divisible by the number (36) 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 38495873534976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74233115443200).

38495873534976 is an abundant number, since it is smaller than the sum of its proper divisors (109970357351424).

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

38495873534976 is a wasteful number, since it uses less digits than its factorization.

38495873534976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 411 counting only the distinct ones).

The product of its digits is 16460236800, while the sum is 81.

The spelling of 38495873534976 in words is "thirty-eight trillion, four hundred ninety-five billion, eight hundred seventy-three million, five hundred thirty-four thousand, nine hundred seventy-six".