37274980 has 48 divisors (see below), whose sum is σ = 81164160. Its totient is φ = 14370048.

The previous prime is 37274977. The next prime is 37274983. The reversal of 37274980 is 8947273.

It is an interprime number because it is at equal distance from previous prime (37274977) and next prime (37274983).

It is not an unprimeable number, because it can be changed into a prime (37274983) 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 15 ways as a sum of consecutive naturals, for example, 76297 + ... + 76783.

It is an arithmetic number, because the mean of its divisors is an integer number (1690920).

It is a vampire number, since it can be written as 3827 ⋅ 9740 (with its own digits).

Almost surely, 2^37274980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37274980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40582080).

37274980 is an abundant number, since it is smaller than the sum of its proper divisors (43889180).

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

37274980 is a wasteful number, since it uses less digits than its factorization.

37274980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 37274980 is about 6105.3239062313. The cubic root of 37274980 is about 334.0456389999.

The spelling of 37274980 in words is "thirty-seven million, two hundred seventy-four thousand, nine hundred eighty".