37642680 has 96 divisors (see below), whose sum is σ = 126322560. Its totient is φ = 9711360.

The previous prime is 37642663. The next prime is 37642681. The reversal of 37642680 is 8624673.

37642680 is a `hidden beast` number, since 3 + 7 + 642 + 6 + 8 + 0 = 666.

37642680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37642681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9474 + ... + 12846.

It is an arithmetic number, because the mean of its divisors is an integer number (1315860).

Almost surely, 2^37642680 is an apocalyptic number.

37642680 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 37642680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63161280).

37642680 is an abundant number, since it is smaller than the sum of its proper divisors (88679880).

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

37642680 is a wasteful number, since it uses less digits than its factorization.

37642680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 37642680 is about 6135.3630699413. The cubic root of 37642680 is about 335.1404475328.

The spelling of 37642680 in words is "thirty-seven million, six hundred forty-two thousand, six hundred eighty".