3961567260 has 144 divisors (see below), whose sum is σ = 14456332800. Its totient is φ = 857837952.

The previous prime is 3961567237. The next prime is 3961567321. The reversal of 3961567260 is 627651693.

3961567260 is a `hidden beast` number, since 3 + 9 + 61 + 567 + 26 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58800 + ... + 106679.

It is an arithmetic number, because the mean of its divisors is an integer number (100391200).

Almost surely, 2^3961567260 is an apocalyptic number.

3961567260 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3961567260 is an abundant number, since it is smaller than the sum of its proper divisors (10494765540).

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

3961567260 is a wasteful number, since it uses less digits than its factorization.

3961567260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165520 (or 165515 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3961567260 is about 62940.9823564901. The cubic root of 3961567260 is about 1582.3006674501.

The spelling of 3961567260 in words is "three billion, nine hundred sixty-one million, five hundred sixty-seven thousand, two hundred sixty".