37420416 has 96 divisors (see below), whose sum is σ = 117510120. Its totient is φ = 11335680.

The previous prime is 37420403. The next prime is 37420459. The reversal of 37420416 is 61402473.

37420416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×37420416² = 2800575067226112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 37420416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11196 + ... + 14148.

Almost surely, 2^37420416 is an apocalyptic number.

37420416 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 37420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58755060).

37420416 is an abundant number, since it is smaller than the sum of its proper divisors (80089704).

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

37420416 is a wasteful number, since it uses less digits than its factorization.

37420416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 37420416 is about 6117.2228993229. Note that the first 3 decimals coincide. The cubic root of 37420416 is about 334.4795244426.

Adding to 37420416 its reverse (61402473), we get a palindrome (98822889).

The spelling of 37420416 in words is "thirty-seven million, four hundred twenty thousand, four hundred sixteen".