38464976400 has 240 divisors, whose sum is σ = 124529362944. Its totient is φ = 10148682240.

The previous prime is 38464976183. The next prime is 38464976423. The reversal of 38464976400 is 467946483.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73546539 + ... + 73547061.

Almost surely, 2^38464976400 is an apocalyptic number.

38464976400 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 38464976400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62264681472).

38464976400 is an abundant number, since it is smaller than the sum of its proper divisors (86064386544).

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

38464976400 is a wasteful number, since it uses less digits than its factorization.

38464976400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 38464976400 in words is "thirty-eight billion, four hundred sixty-four million, nine hundred seventy-six thousand, four hundred".