37720478400 has 672 divisors, whose sum is σ = 142865856000. Its totient is φ = 8623718400.

The previous prime is 37720478381. The next prime is 37720478401. The reversal of 37720478400 is 487402773.

It is not an unprimeable number, because it can be changed into a prime (37720478401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108081426 + ... + 108081774.

It is an arithmetic number, because the mean of its divisors is an integer number (212598000).

Almost surely, 2^37720478400 is an apocalyptic number.

37720478400 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 37720478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71432928000).

37720478400 is an abundant number, since it is smaller than the sum of its proper divisors (105145377600).

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

37720478400 is a wasteful number, since it uses less digits than its factorization.

37720478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The spelling of 37720478400 in words is "thirty-seven billion, seven hundred twenty million, four hundred seventy-eight thousand, four hundred".