39053952 has 192 divisors, whose sum is σ = 133660800. Its totient is φ = 10708992.

The previous prime is 39053941. The next prime is 39053957. The reversal of 39053952 is 25935093.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×39053952² = 3050422333636608, which contains 22 as substring.

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 (39053957) 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, 233773 + ... + 233939.

It is an arithmetic number, because the mean of its divisors is an integer number (696150).

Almost surely, 2^39053952 is an apocalyptic number.

39053952 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 39053952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830400).

39053952 is an abundant number, since it is smaller than the sum of its proper divisors (94606848).

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

39053952 is a wasteful number, since it uses less digits than its factorization.

39053952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The square root of 39053952 is about 6249.3161225849. The cubic root of 39053952 is about 339.2774505709.

The spelling of 39053952 in words is "thirty-nine million, fifty-three thousand, nine hundred fifty-two".