37864242 has 48 divisors (see below), whose sum is σ = 89264448. Its totient is φ = 11530080.

The previous prime is 37864231. The next prime is 37864243. The reversal of 37864242 is 24246873.

37864242 is a `hidden beast` number, since 3 + 7 + 8 + 642 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 37864197 and 37864206.

It is not an unprimeable number, because it can be changed into a prime (37864243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23317 + ... + 24887.

It is an arithmetic number, because the mean of its divisors is an integer number (1859676).

Almost surely, 2^37864242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37864242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44632224).

37864242 is an abundant number, since it is smaller than the sum of its proper divisors (51400206).

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

37864242 is a wasteful number, since it uses less digits than its factorization.

37864242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1692 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 37864242 is about 6153.3927227181. The cubic root of 37864242 is about 335.7966988686.

It can be divided in two parts, 378 and 64242, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 37864242 in words is "thirty-seven million, eight hundred sixty-four thousand, two hundred forty-two".