38200885632000 has 3520 divisors, whose sum is σ = 184528320936960. Its totient is φ = 7632175104000.

The previous prime is 38200885631999. The next prime is 38200885632023. The reversal of 38200885632000 is 23658800283.

38200885632000 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 0 + 8 + 8 + 5 + 632 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 17926270935 + ... + 17926273065.

It is an arithmetic number, because the mean of its divisors is an integer number (52422818448).

Almost surely, 2^{38200885632000} is an apocalyptic number.

38200885632000 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 38200885632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92264160468480).

38200885632000 is an abundant number, since it is smaller than the sum of its proper divisors (146327435304960).

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

38200885632000 is a wasteful number, since it uses less digits than its factorization.

38200885632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 38200885632000 in words is "thirty-eight trillion, two hundred billion, eight hundred eighty-five million, six hundred thirty-two thousand".