3969406896 has 240 divisors, whose sum is σ = 12957170688. Its totient is φ = 1037836800.

The previous prime is 3969406877. The next prime is 3969406921. The reversal of 3969406896 is 6986049693.

It is a happy number.

3969406896 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 super-2 number, since 2×3969406896² = 31512382212024709632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4004961 + ... + 4005951.

Almost surely, 2^3969406896 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 3969406896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6478585344).

3969406896 is an abundant number, since it is smaller than the sum of its proper divisors (8987763792).

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

3969406896 is a wasteful number, since it uses less digits than its factorization.

3969406896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 60.

The square root of 3969406896 is about 63003.2292505710. The cubic root of 3969406896 is about 1583.3437300247.

The spelling of 3969406896 in words is "three billion, nine hundred sixty-nine million, four hundred six thousand, eight hundred ninety-six".