37978416 has 160 divisors (see below), whose sum is σ = 131340800. Its totient is φ = 10264320.

The previous prime is 37978411. The next prime is 37978433. The reversal of 37978416 is 61487973.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (37978411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57126 + ... + 57786.

It is an arithmetic number, because the mean of its divisors is an integer number (820880).

Almost surely, 2^37978416 is an apocalyptic number.

37978416 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 37978416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65670400).

37978416 is an abundant number, since it is smaller than the sum of its proper divisors (93362384).

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

37978416 is a wasteful number, since it uses less digits than its factorization.

37978416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 692 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 37978416 is about 6162.6630607230. The cubic root of 37978416 is about 336.1338752233.

The spelling of 37978416 in words is "thirty-seven million, nine hundred seventy-eight thousand, four hundred sixteen".