39434976 has 144 divisors (see below), whose sum is σ = 132507648. Its totient is φ = 10886400.

The previous prime is 39434971. The next prime is 39434977. The reversal of 39434976 is 67943493.

39434976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39434971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62181 + ... + 62811.

It is an arithmetic number, because the mean of its divisors is an integer number (920192).

Almost surely, 2^39434976 is an apocalyptic number.

39434976 is a gapful number since it is divisible by the number (36) 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 39434976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66253824).

39434976 is an abundant number, since it is smaller than the sum of its proper divisors (93072672).

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

39434976 is a wasteful number, since it uses less digits than its factorization.

39434976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 674 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 39434976 is about 6279.7273826178. The cubic root of 39434976 is about 340.3772513879.

The spelling of 39434976 in words is "thirty-nine million, four hundred thirty-four thousand, nine hundred seventy-six".