3999879408 has 320 divisors, whose sum is σ = 13199155200. Its totient is φ = 1038643200.

The previous prime is 3999879397. The next prime is 3999879409. The reversal of 3999879408 is 8049789993.

3999879408 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3999879409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8676298 + ... + 8676758.

It is an arithmetic number, because the mean of its divisors is an integer number (41247360).

Almost surely, 2^3999879408 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 3999879408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599577600).

3999879408 is an abundant number, since it is smaller than the sum of its proper divisors (9199275792).

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

3999879408 is a wasteful number, since it uses less digits than its factorization.

3999879408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 66.

The square root of 3999879408 is about 63244.5998327130. The cubic root of 3999879408 is about 1587.3850994856.

The spelling of 3999879408 in words is "three billion, nine hundred ninety-nine million, eight hundred seventy-nine thousand, four hundred eight".