3961277320 has 512 divisors, whose sum is σ = 13005619200. Its totient is φ = 1045094400.

The previous prime is 3961277303. The next prime is 3961277357. The reversal of 3961277320 is 237721693.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31191097 + ... + 31191223.

It is an arithmetic number, because the mean of its divisors is an integer number (25401600).

Almost surely, 2^3961277320 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 3961277320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6502809600).

3961277320 is an abundant number, since it is smaller than the sum of its proper divisors (9044341880).

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

3961277320 is a wasteful number, since it uses less digits than its factorization.

3961277320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

The square root of 3961277320 is about 62938.6790455599. The cubic root of 3961277320 is about 1582.2620645927.

The spelling of 3961277320 in words is "three billion, nine hundred sixty-one million, two hundred seventy-seven thousand, three hundred twenty".