3961320000 has 280 divisors, whose sum is σ = 14292449952. Its totient is φ = 960000000.

The previous prime is 3961319987. The next prime is 3961320017. The reversal of 3961320000 is 231693.

It is a super-2 number, since 2×3961320000² = 31384112284800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1318500 + ... + 1321500.

Almost surely, 2^3961320000 is an apocalyptic number.

3961320000 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 3961320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7146224976).

3961320000 is an abundant number, since it is smaller than the sum of its proper divisors (10331129952).

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

3961320000 is a wasteful number, since it uses less digits than its factorization.

3961320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 3961320000 is about 62939.0181048291. The cubic root of 3961320000 is about 1582.2677471623.

Adding to 3961320000 its reverse (231693), we get a palindrome (3961551693).

The spelling of 3961320000 in words is "three billion, nine hundred sixty-one million, three hundred twenty thousand".