38646640161600 has 336 divisors, whose sum is σ = 129959845150656. Its totient is φ = 10051430400000.

The previous prime is 38646640161593. The next prime is 38646640161629. The reversal of 38646640161600 is 616104664683.

It is a super-2 number, since 2×38646640161600² (a number of 28 digits) contains 22 as substring.

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, 31886700 + ... + 33076500.

Almost surely, 2^{38646640161600} is an apocalyptic number.

38646640161600 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 38646640161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64979922575328).

38646640161600 is an abundant number, since it is smaller than the sum of its proper divisors (91313204989056).

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

38646640161600 is a wasteful number, since it uses less digits than its factorization.

38646640161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189994 (or 1189979 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 38646640161600 in words is "thirty-eight trillion, six hundred forty-six billion, six hundred forty million, one hundred sixty-one thousand, six hundred".