38735625600000 has 2640 divisors, whose sum is σ = 169995284230464. Its totient is φ = 8599633920000.

The previous prime is 38735625599969. The next prime is 38735625600071. The reversal of 38735625600000 is 652653783.

38735625600000 is a `hidden beast` number, since 3 + 8 + 7 + 35 + 6 + 2 + 5 + 600 + 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 239 ways as a sum of consecutive naturals, for example, 67132799712 + ... + 67132800288.

Almost surely, 2^{38735625600000} is an apocalyptic number.

38735625600000 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 38735625600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84997642115232).

38735625600000 is an abundant number, since it is smaller than the sum of its proper divisors (131259658630464).

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

38735625600000 is an frugal number, since it uses more digits than its factorization.

38735625600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 38735625600000 in words is "thirty-eight trillion, seven hundred thirty-five billion, six hundred twenty-five million, six hundred thousand".