38037672 has 48 divisors (see below), whose sum is σ = 104444340. Its totient is φ = 12503808.

The previous prime is 38037667. The next prime is 38037673. The reversal of 38037672 is 27673083.

It can be written as a sum of positive squares in 2 ways, for example, as 37527876 + 509796 = 6126^2 + 714^2 .

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

It is not an unprimeable number, because it can be changed into a prime (38037673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1638 + ... + 8874.

Almost surely, 2^38037672 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 38037672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52222170).

38037672 is an abundant number, since it is smaller than the sum of its proper divisors (66406668).

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

38037672 is a wasteful number, since it uses less digits than its factorization.

38037672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7322 (or 7315 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 38037672 is about 6167.4688487255. The cubic root of 38037672 is about 336.3086025286.

The spelling of 38037672 in words is "thirty-eight million, thirty-seven thousand, six hundred seventy-two".