39385152 has 84 divisors (see below), whose sum is σ = 114176556. Its totient is φ = 12979200.

The previous prime is 39385147. The next prime is 39385153. The reversal of 39385152 is 25158393.

It can be written as a sum of positive squares in 2 ways, for example, as 38638656 + 746496 = 6216^2 + 864^2 .

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

It is not an unprimeable number, because it can be changed into a prime (39385153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57838 + ... + 58514.

Almost surely, 2^39385152 is an apocalyptic number.

39385152 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 39385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57088278).

39385152 is an abundant number, since it is smaller than the sum of its proper divisors (74791404).

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

39385152 is a wasteful number, since it uses less digits than its factorization.

39385152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 783 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 39385152 is about 6275.7590775937. The cubic root of 39385152 is about 340.2338414411.

The spelling of 39385152 in words is "thirty-nine million, three hundred eighty-five thousand, one hundred fifty-two".