37996646400 has 546 divisors, whose sum is σ = 141543183030. Its totient is φ = 10112532480.

The previous prime is 37996646381. The next prime is 37996646411. The reversal of 37996646400 is 464669973.

37996646400 is a `hidden beast` number, since 37 + 99 + 66 + 464 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6318342144 + 31678304256 = 79488^2 + 177984^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 74649346 + ... + 74649854.

Almost surely, 2^37996646400 is an apocalyptic number.

37996646400 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 37996646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70771591515).

37996646400 is an abundant number, since it is smaller than the sum of its proper divisors (103546536630).

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

37996646400 is an frugal number, since it uses more digits than its factorization.

37996646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 37996646400 in words is "thirty-seven billion, nine hundred ninety-six million, six hundred forty-six thousand, four hundred".