37686816 has 96 divisors (see below), whose sum is σ = 112129920. Its totient is φ = 12310272.

The previous prime is 37686799. The next prime is 37686821. The reversal of 37686816 is 61868673.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×37686816² = 2840592200435712, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 45381 + ... + 46203.

It is an arithmetic number, because the mean of its divisors is an integer number (1168020).

Almost surely, 2^37686816 is an apocalyptic number.

37686816 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 37686816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56064960).

37686816 is an abundant number, since it is smaller than the sum of its proper divisors (74443104).

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

37686816 is a wasteful number, since it uses less digits than its factorization.

37686816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 881 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 37686816 is about 6138.9588693849. The cubic root of 37686816 is about 335.2713803060.

The spelling of 37686816 in words is "thirty-seven million, six hundred eighty-six thousand, eight hundred sixteen".