39955752 has 48 divisors (see below), whose sum is σ = 108894240. Its totient is φ = 13234848.

The previous prime is 39955733. The next prime is 39955753. The reversal of 39955752 is 25755993.

39955752 is a `hidden beast` number, since 3 + 99 + 557 + 5 + 2 = 666.

It is a super-3 number, since 3×39955752³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 39955698 and 39955707.

It is not an unprimeable number, because it can be changed into a prime (39955753) 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 11 ways as a sum of consecutive naturals, for example, 10363 + ... + 13685.

It is an arithmetic number, because the mean of its divisors is an integer number (2268630).

Almost surely, 2^39955752 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 39955752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54447120).

39955752 is an abundant number, since it is smaller than the sum of its proper divisors (68938488).

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

39955752 is a wasteful number, since it uses less digits than its factorization.

39955752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3495 counting only the distinct ones).

The product of its digits is 425250, while the sum is 45.

The square root of 39955752 is about 6321.0562408509. The cubic root of 39955752 is about 341.8690377815.

The spelling of 39955752 in words is "thirty-nine million, nine hundred fifty-five thousand, seven hundred fifty-two".