38040576 has 176 divisors, whose sum is σ = 121837440. Its totient is φ = 10321920.

The previous prime is 38040571. The next prime is 38040581. The reversal of 38040576 is 67504083.

It is an interprime number because it is at equal distance from previous prime (38040571) and next prime (38040581).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38040571) 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, 623586 + ... + 623646.

Almost surely, 2^38040576 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 38040576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60918720).

38040576 is an abundant number, since it is smaller than the sum of its proper divisors (83796864).

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

38040576 is a wasteful number, since it uses less digits than its factorization.

38040576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 38040576 is about 6167.7042730663. The cubic root of 38040576 is about 336.3171608453.

The spelling of 38040576 in words is "thirty-eight million, forty thousand, five hundred seventy-six".