37945680 has 80 divisors (see below), whose sum is σ = 118325760. Its totient is φ = 10059264.

The previous prime is 37945667. The next prime is 37945697. The reversal of 37945680 is 8654973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53166 + ... + 53874.

It is an arithmetic number, because the mean of its divisors is an integer number (1479072).

Almost surely, 2^37945680 is an apocalyptic number.

37945680 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 37945680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59162880).

37945680 is an abundant number, since it is smaller than the sum of its proper divisors (80380080).

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

37945680 is a wasteful number, since it uses less digits than its factorization.

37945680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 37945680 is about 6160.0064935031. The cubic root of 37945680 is about 336.0372691086.

The spelling of 37945680 in words is "thirty-seven million, nine hundred forty-five thousand, six hundred eighty".