38276081625600 has 2880 divisors, whose sum is σ = 175831079424000. Its totient is φ = 8029908172800.

The previous prime is 38276081625599. The next prime is 38276081625629. The reversal of 38276081625600 is 652618067283.

38276081625600 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 6 + 0 + 8 + 1 + 6 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 287 ways as a sum of consecutive naturals, for example, 76705574151 + ... + 76705574649.

Almost surely, 2^{38276081625600} is an apocalyptic number.

38276081625600 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 38276081625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87915539712000).

38276081625600 is an abundant number, since it is smaller than the sum of its proper divisors (137554997798400).

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

38276081625600 is a wasteful number, since it uses less digits than its factorization.

38276081625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 38276081625600 in words is "thirty-eight trillion, two hundred seventy-six billion, eighty-one million, six hundred twenty-five thousand, six hundred".