38604966400 has 960 divisors, whose sum is σ = 135027357696. Its totient is φ = 10543104000.

The previous prime is 38604966359. The next prime is 38604966437. The reversal of 38604966400 is 466940683.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 294694335 + ... + 294694465.

Almost surely, 2^38604966400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38604966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67513678848).

38604966400 is an abundant number, since it is smaller than the sum of its proper divisors (96422391296).

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

38604966400 is a wasteful number, since it uses less digits than its factorization.

38604966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 38604966400 in words is "thirty-eight billion, six hundred four million, nine hundred sixty-six thousand, four hundred".