37218816 has 120 divisors (see below), whose sum is σ = 110594484. Its totient is φ = 12042240.

The previous prime is 37218787. The next prime is 37218823. The reversal of 37218816 is 61881273.

It can be written as a sum of positive squares in 2 ways, for example, as 37161216 + 57600 = 6096^2 + 240^2 .

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 11 ways as a sum of consecutive naturals, for example, 188830 + ... + 189026.

Almost surely, 2^37218816 is an apocalyptic number.

37218816 is a gapful number since it is divisible by the number (36) 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 37218816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55297242).

37218816 is an abundant number, since it is smaller than the sum of its proper divisors (73375668).

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

37218816 is a wasteful number, since it uses less digits than its factorization.

37218816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 243 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 37218816 is about 6100.7225801539. The cubic root of 37218816 is about 333.8777804700.

The spelling of 37218816 in words is "thirty-seven million, two hundred eighteen thousand, eight hundred sixteen".