38533040 has 160 divisors (see below), whose sum is σ = 113326080. Its totient is φ = 11860992.

The previous prime is 38532983. The next prime is 38533051. The reversal of 38533040 is 4033583.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487721 + ... + 487799.

It is an arithmetic number, because the mean of its divisors is an integer number (708288).

Almost surely, 2^38533040 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 38533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56663040).

38533040 is an abundant number, since it is smaller than the sum of its proper divisors (74793040).

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

38533040 is a wasteful number, since it uses less digits than its factorization.

38533040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 38533040 is about 6207.4986910993. The cubic root of 38533040 is about 337.7622360629.

The spelling of 38533040 in words is "thirty-eight million, five hundred thirty-three thousand, forty".