3913979328 has 252 divisors, whose sum is σ = 13536747120. Its totient is φ = 1059028992.

The previous prime is 3913979327. The next prime is 3913979339. The reversal of 3913979328 is 8239793193.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×3913979328² = 30638468360022663168, which contains 22 as substring.

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 (3913979327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1454208 + ... + 1456896.

Almost surely, 2^3913979328 is an apocalyptic number.

3913979328 is a gapful number since it is divisible by the number (38) 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 3913979328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768373560).

3913979328 is an abundant number, since it is smaller than the sum of its proper divisors (9622767792).

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

3913979328 is a wasteful number, since it uses less digits than its factorization.

3913979328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2720 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 3913979328 is about 62561.8040660593. The cubic root of 3913979328 is about 1575.9393845806.

The spelling of 3913979328 in words is "three billion, nine hundred thirteen million, nine hundred seventy-nine thousand, three hundred twenty-eight".