38332897689600 has 828 divisors, whose sum is σ = 138740177805840. Its totient is φ = 10116661248000.

The previous prime is 38332897689553. The next prime is 38332897689661. The reversal of 38332897689600 is 698679823383.

38332897689600 is a `hidden beast` number, since 3 + 8 + 3 + 3 + 2 + 8 + 9 + 7 + 6 + 8 + 9 + 600 = 666.

It is a super-2 number, since 2×38332897689600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 142501478266 + ... + 142501478534.

Almost surely, 2^{38332897689600} is an apocalyptic number.

38332897689600 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 38332897689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69370088902920).

38332897689600 is an abundant number, since it is smaller than the sum of its proper divisors (100407280116240).

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

38332897689600 is an frugal number, since it uses more digits than its factorization.

38332897689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 38332897689600 in words is "thirty-eight trillion, three hundred thirty-two billion, eight hundred ninety-seven million, six hundred eighty-nine thousand, six hundred".