38604623616000 has 1152 divisors, whose sum is σ = 150127258619520. Its totient is φ = 9485254656000.

The previous prime is 38604623615953. The next prime is 38604623616101. The reversal of 38604623616000 is 61632640683.

38604623616000 is a `hidden beast` number, since 3 + 8 + 6 + 0 + 4 + 6 + 2 + 36 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 25549055245 + ... + 25549056755.

It is an arithmetic number, because the mean of its divisors is an integer number (130318800885).

Almost surely, 2^{38604623616000} is an apocalyptic number.

38604623616000 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 38604623616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75063629309760).

38604623616000 is an abundant number, since it is smaller than the sum of its proper divisors (111522635003520).

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

38604623616000 is a wasteful number, since it uses less digits than its factorization.

38604623616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 38604623616000 in words is "thirty-eight trillion, six hundred four billion, six hundred twenty-three million, six hundred sixteen thousand".