37944480 has 192 divisors, whose sum is σ = 142829568. Its totient is φ = 8279040.

The previous prime is 37944469. The next prime is 37944481. The reversal of 37944480 is 8444973.

It is not an unprimeable number, because it can be changed into a prime (37944481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77035 + ... + 77525.

It is an arithmetic number, because the mean of its divisors is an integer number (743904).

Almost surely, 2^37944480 is an apocalyptic number.

37944480 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 37944480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71414784).

37944480 is an abundant number, since it is smaller than the sum of its proper divisors (104885088).

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

37944480 is a wasteful number, since it uses less digits than its factorization.

37944480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 37944480 is about 6159.9090902383. The cubic root of 37944480 is about 336.0337267732.

The spelling of 37944480 in words is "thirty-seven million, nine hundred forty-four thousand, four hundred eighty".