38749152 has 96 divisors (see below), whose sum is σ = 111555360. Its totient is φ = 11704320.

The previous prime is 38749147. The next prime is 38749159. The reversal of 38749152 is 25194783.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 38749152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38749159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75874 + ... + 76382.

It is an arithmetic number, because the mean of its divisors is an integer number (1162035).

Almost surely, 2^38749152 is an apocalyptic number.

38749152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38749152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55777680).

38749152 is an abundant number, since it is smaller than the sum of its proper divisors (72806208).

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

38749152 is a wasteful number, since it uses less digits than its factorization.

38749152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 588 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 38749152 is about 6224.8816856226. The cubic root of 38749152 is about 338.3925041234.

The spelling of 38749152 in words is "thirty-eight million, seven hundred forty-nine thousand, one hundred fifty-two".