37882620 has 144 divisors (see below), whose sum is σ = 123449760. Its totient is φ = 9642240.

The previous prime is 37882597. The next prime is 37882631. The reversal of 37882620 is 2628873.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 518904 + ... + 518976.

It is an arithmetic number, because the mean of its divisors is an integer number (857290).

Almost surely, 2^37882620 is an apocalyptic number.

37882620 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 37882620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61724880).

37882620 is an abundant number, since it is smaller than the sum of its proper divisors (85567140).

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

37882620 is a wasteful number, since it uses less digits than its factorization.

37882620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 37882620 is about 6154.8858640920. The cubic root of 37882620 is about 335.8510181351.

The spelling of 37882620 in words is "thirty-seven million, eight hundred eighty-two thousand, six hundred twenty".