37672980 has 48 divisors (see below), whose sum is σ = 106311744. Its totient is φ = 9967360.

The previous prime is 37672963. The next prime is 37672981. The reversal of 37672980 is 8927673.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37672981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5464 + ... + 10256.

It is an arithmetic number, because the mean of its divisors is an integer number (2214828).

Almost surely, 2^37672980 is an apocalyptic number.

37672980 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 37672980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53155872).

37672980 is an abundant number, since it is smaller than the sum of its proper divisors (68638764).

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

37672980 is a wasteful number, since it uses less digits than its factorization.

37672980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4936 (or 4934 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 37672980 is about 6137.8318647549. The cubic root of 37672980 is about 335.2303457735.

The spelling of 37672980 in words is "thirty-seven million, six hundred seventy-two thousand, nine hundred eighty".