37906944 has 160 divisors (see below), whose sum is σ = 111957120. Its totient is φ = 11354112.

The previous prime is 37906943. The next prime is 37906961. The reversal of 37906944 is 44960973.

It is a junction number, because it is equal to n+sod(n) for n = 37906896 and 37906905.

It is not an unprimeable number, because it can be changed into a prime (37906943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1024494 + ... + 1024530.

It is an arithmetic number, because the mean of its divisors is an integer number (699732).

Almost surely, 2^37906944 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 37906944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55978560).

37906944 is an abundant number, since it is smaller than the sum of its proper divisors (74050176).

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

37906944 is a wasteful number, since it uses less digits than its factorization.

37906944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 37906944 is about 6156.8615381540. The cubic root of 37906944 is about 335.9228847970.

The spelling of 37906944 in words is "thirty-seven million, nine hundred six thousand, nine hundred forty-four".