37906242 has 64 divisors (see below), whose sum is σ = 86704128. Its totient is φ = 10944000.

The previous prime is 37906223. The next prime is 37906249. The reversal of 37906242 is 24260973.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (37906249) 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, 198367 + ... + 198557.

It is an arithmetic number, because the mean of its divisors is an integer number (1354752).

Almost surely, 2^37906242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37906242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43352064).

37906242 is an abundant number, since it is smaller than the sum of its proper divisors (48797886).

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

37906242 is a wasteful number, since it uses less digits than its factorization.

37906242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 37906242 is about 6156.8045283247. The cubic root of 37906242 is about 335.9208111284.

The spelling of 37906242 in words is "thirty-seven million, nine hundred six thousand, two hundred forty-two".