38720592 has 120 divisors (see below), whose sum is σ = 117534144. Its totient is φ = 12317184.

The previous prime is 38720551. The next prime is 38720593. The reversal of 38720592 is 29502783.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38720593) 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 23 ways as a sum of consecutive naturals, for example, 89208 + ... + 89640.

Almost surely, 2^38720592 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 38720592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58767072).

38720592 is an abundant number, since it is smaller than the sum of its proper divisors (78813552).

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

38720592 is a wasteful number, since it uses less digits than its factorization.

38720592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 461 counting only the distinct ones).

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

The square root of 38720592 is about 6222.5872432614. The cubic root of 38720592 is about 338.3093464731.

The spelling of 38720592 in words is "thirty-eight million, seven hundred twenty thousand, five hundred ninety-two".