38745600537600 has 3168 divisors, whose sum is σ = 165403389505536. Its totient is φ = 8561413324800.

The previous prime is 38745600537599. The next prime is 38745600537607. The reversal of 38745600537600 is 673500654783.

38745600537600 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 560 + 0 + 5 + 3 + 76 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×38745600537600² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38745600537607) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 305083468737 + ... + 305083468863.

Almost surely, 2^{38745600537600} is an apocalyptic number.

38745600537600 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 38745600537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82701694752768).

38745600537600 is an abundant number, since it is smaller than the sum of its proper divisors (126657788967936).

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

38745600537600 is a wasteful number, since it uses less digits than its factorization.

38745600537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 38745600537600 in words is "thirty-eight trillion, seven hundred forty-five billion, six hundred million, five hundred thirty-seven thousand, six hundred".