37920690 has 96 divisors (see below), whose sum is σ = 105356160. Its totient is φ = 9705024.

The previous prime is 37920689. The next prime is 37920691. The reversal of 37920690 is 9602973.

37920690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (37920689) and next prime (37920691).

It is a super-2 number, since 2×37920690² = 2875957460152200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (37920691) 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 47 ways as a sum of consecutive naturals, for example, 226987 + ... + 227153.

It is an arithmetic number, because the mean of its divisors is an integer number (1097460).

Almost surely, 2^37920690 is an apocalyptic number.

37920690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 37920690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52678080).

37920690 is an abundant number, since it is smaller than the sum of its proper divisors (67435470).

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

37920690 is a wasteful number, since it uses less digits than its factorization.

37920690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 37920690 is about 6157.9777524769. The cubic root of 37920690 is about 335.9634845522.

The spelling of 37920690 in words is "thirty-seven million, nine hundred twenty thousand, six hundred ninety".