37894064 has 60 divisors (see below), whose sum is σ = 83442576. Its totient is φ = 16541184.

The previous prime is 37894057. The next prime is 37894067. The reversal of 37894064 is 46049873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37894067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 425732 + ... + 425820.

Almost surely, 2^37894064 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 37894064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41721288).

37894064 is an abundant number, since it is smaller than the sum of its proper divisors (45548512).

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

37894064 is a wasteful number, since it uses less digits than its factorization.

37894064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 37894064 is about 6155.8154618214. The cubic root of 37894064 is about 335.8848339244.

The spelling of 37894064 in words is "thirty-seven million, eight hundred ninety-four thousand, sixty-four".