37978980 has 192 divisors, whose sum is σ = 125314560. Its totient is φ = 8515584.

The previous prime is 37978939. The next prime is 37978987. The reversal of 37978980 is 8987973.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37978987) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 520224 + ... + 520296.

It is an arithmetic number, because the mean of its divisors is an integer number (652680).

Almost surely, 2^37978980 is an apocalyptic number.

37978980 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 37978980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62657280).

37978980 is an abundant number, since it is smaller than the sum of its proper divisors (87335580).

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

37978980 is a wasteful number, since it uses less digits than its factorization.

37978980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The square root of 37978980 is about 6162.7088199914. The cubic root of 37978980 is about 336.1355391383.

The spelling of 37978980 in words is "thirty-seven million, nine hundred seventy-eight thousand, nine hundred eighty".