3961996800 has 120 divisors (see below), whose sum is σ = 13088335656. Its totient is φ = 1056522240.

The previous prime is 3961996777. The next prime is 3961996837. The reversal of 3961996800 is 86991693.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13189 + ... + 89988.

Almost surely, 2^3961996800 is an apocalyptic number.

3961996800 is a gapful number since it is divisible by the number (30) 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 3961996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6544167828).

3961996800 is an abundant number, since it is smaller than the sum of its proper divisors (9126338856).

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

3961996800 is a wasteful number, since it uses less digits than its factorization.

3961996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103208 (or 103187 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 51.

The square root of 3961996800 is about 62944.3945081689. The cubic root of 3961996800 is about 1582.3578533079.

The spelling of 3961996800 in words is "three billion, nine hundred sixty-one million, nine hundred ninety-six thousand, eight hundred".