38725632000000 has 1512 divisors, whose sum is σ = 153351692073216. Its totient is φ = 9338880000000.

The previous prime is 38725631999947. The next prime is 38725632000001. The reversal of 38725632000000 is 23652783.

38725632000000 is a `hidden beast` number, since 3 + 8 + 72 + 563 + 20 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38725632000001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 202751999905 + ... + 202752000095.

It is an arithmetic number, because the mean of its divisors is an integer number (101423076768).

Almost surely, 2^{38725632000000} is an apocalyptic number.

38725632000000 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 38725632000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76675846036608).

38725632000000 is an abundant number, since it is smaller than the sum of its proper divisors (114626060073216).

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

38725632000000 is an frugal number, since it uses more digits than its factorization.

38725632000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 38725632000000 its reverse (23652783), we get a palindrome (38725655652783).

The spelling of 38725632000000 in words is "thirty-eight trillion, seven hundred twenty-five billion, six hundred thirty-two million", and thus it is an aban number.