37814868 has 216 divisors, whose sum is σ = 128098152. Its totient is φ = 9289728.

The previous prime is 37814857. The next prime is 37814879. The reversal of 37814868 is 86841873.

It is an interprime number because it is at equal distance from previous prime (37814857) and next prime (37814879).

It can be written as a sum of positive squares in 4 ways, for example, as 3732624 + 34082244 = 1932^2 + 5838^2 .

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 71 ways as a sum of consecutive naturals, for example, 389796 + ... + 389892.

It is an arithmetic number, because the mean of its divisors is an integer number (593047).

Almost surely, 2^37814868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37814868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64049076).

37814868 is an abundant number, since it is smaller than the sum of its proper divisors (90283284).

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

37814868 is a wasteful number, since it uses less digits than its factorization.

37814868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 139 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 37814868 is about 6149.3794808907. The cubic root of 37814868 is about 335.6506786216.

It can be divided in two parts, 3781 and 4868, that added together give a square (8649 = 93²).

The spelling of 37814868 in words is "thirty-seven million, eight hundred fourteen thousand, eight hundred sixty-eight".