37830420480 has 96 divisors (see below), whose sum is σ = 121027888800. Its totient is φ = 10088103936.

The previous prime is 37830420479. The next prime is 37830420521. The reversal of 37830420480 is 8402403873.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×37830420480² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585010 + ... + 646449.

It is an arithmetic number, because the mean of its divisors is an integer number (1260707175).

Almost surely, 2^37830420480 is an apocalyptic number.

37830420480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

37830420480 is an abundant number, since it is smaller than the sum of its proper divisors (83197468320).

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

37830420480 is a wasteful number, since it uses less digits than its factorization.

37830420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231489 (or 1231469 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 37830420480 in words is "thirty-seven billion, eight hundred thirty million, four hundred twenty thousand, four hundred eighty".