37720416 has 96 divisors (see below), whose sum is σ = 108591840. Its totient is φ = 11411456.

The previous prime is 37720373. The next prime is 37720439. The reversal of 37720416 is 61402773.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46930 + ... + 47726.

It is an arithmetic number, because the mean of its divisors is an integer number (1131165).

Almost surely, 2^37720416 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 37720416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54295920).

37720416 is an abundant number, since it is smaller than the sum of its proper divisors (70871424).

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

37720416 is a wasteful number, since it uses less digits than its factorization.

37720416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 37720416 is about 6141.6948800799. The cubic root of 37720416 is about 335.3709887225.

The spelling of 37720416 in words is "thirty-seven million, seven hundred twenty thousand, four hundred sixteen".