37838052 has 36 divisors (see below), whose sum is σ = 109310656. Its totient is φ = 10810800.

The previous prime is 37838029. The next prime is 37838111. The reversal of 37838052 is 25083873.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 37837998 and 37838016.

It is an unprimeable number.

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, 74824 + ... + 75327.

Almost surely, 2^37838052 is an apocalyptic number.

It is an amenable number.

37838052 is an abundant number, since it is smaller than the sum of its proper divisors (71472604).

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

37838052 is a wasteful number, since it uses less digits than its factorization.

37838052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150168 (or 150163 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 37838052 is about 6151.2642602964. The cubic root of 37838052 is about 335.7192595439.

The spelling of 37838052 in words is "thirty-seven million, eight hundred thirty-eight thousand, fifty-two".