3949338624 has 224 divisors, whose sum is σ = 13135758336. Its totient is φ = 1025310720.

The previous prime is 3949338563. The next prime is 3949338707. The reversal of 3949338624 is 4268339493.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nialpdrome in base 16.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1891309 + ... + 1893395.

Almost surely, 2^3949338624 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 3949338624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6567879168).

3949338624 is an abundant number, since it is smaller than the sum of its proper divisors (9186419712).

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

3949338624 is a wasteful number, since it uses less digits than its factorization.

3949338624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2110 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 51.

The square root of 3949338624 is about 62843.7636046728. The cubic root of 3949338624 is about 1580.6708981205.

The spelling of 3949338624 in words is "three billion, nine hundred forty-nine million, three hundred thirty-eight thousand, six hundred twenty-four".