38733552 has 300 divisors, whose sum is σ = 139687240. Its totient is φ = 10264320.

The previous prime is 38733529. The next prime is 38733557. The reversal of 38733552 is 25533783.

38733552 is a `hidden beast` number, since 38 + 73 + 3 + 552 = 666.

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

Its product of digits (75600) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38733557) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2038599 + ... + 2038617.

Almost surely, 2^38733552 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 38733552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69843620).

38733552 is an abundant number, since it is smaller than the sum of its proper divisors (100953688).

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

38733552 is a wasteful number, since it uses less digits than its factorization.

38733552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 48 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 38733552 is about 6223.6285236187. The cubic root of 38733552 is about 338.3470869434.

The spelling of 38733552 in words is "thirty-eight million, seven hundred thirty-three thousand, five hundred fifty-two".