37894050 has 72 divisors (see below), whose sum is σ = 102890736. Its totient is φ = 9997920.

The previous prime is 37894033. The next prime is 37894057. The reversal of 37894050 is 5049873.

It is a junction number, because it is equal to n+sod(n) for n = 37893996 and 37894014.

It is not an unprimeable number, because it can be changed into a prime (37894057) 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 35 ways as a sum of consecutive naturals, for example, 47757 + ... + 48543.

It is an arithmetic number, because the mean of its divisors is an integer number (1429038).

Almost surely, 2^37894050 is an apocalyptic number.

37894050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 37894050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51445368).

37894050 is an abundant number, since it is smaller than the sum of its proper divisors (64996686).

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

37894050 is a wasteful number, since it uses less digits than its factorization.

37894050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 37894050 is about 6155.8143246852. The cubic root of 37894050 is about 335.8847925601.

The spelling of 37894050 in words is "thirty-seven million, eight hundred ninety-four thousand, fifty".