37428480 has 270 divisors, whose sum is σ = 141345666. Its totient is φ = 9455616.

The previous prime is 37428451. The next prime is 37428491. The reversal of 37428480 is 8482473.

37428480 is a `hidden beast` number, since 374 + 284 + 8 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29942784 + 7485696 = 5472^2 + 2736^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a super-2 number, since 2×37428480² = 2801782230220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1969911 + ... + 1969929.

Almost surely, 2^37428480 is an apocalyptic number.

37428480 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 37428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70672833).

37428480 is an abundant number, since it is smaller than the sum of its proper divisors (103917186).

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

37428480 is an equidigital number, since it uses as much as digits as its factorization.

37428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 37428480 is about 6117.8819864394. The cubic root of 37428480 is about 334.5035491992.

The spelling of 37428480 in words is "thirty-seven million, four hundred twenty-eight thousand, four hundred eighty".