3966622560 has 72 divisors (see below), whose sum is σ = 13536104400. Its totient is φ = 1057765632.

The previous prime is 3966622547. The next prime is 3966622579. The reversal of 3966622560 is 652266693.

It is a tau number, because it is divible by the number of its divisors (72).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1375860 + ... + 1378739.

It is an arithmetic number, because the mean of its divisors is an integer number (188001450).

Almost surely, 2^3966622560 is an apocalyptic number.

3966622560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3966622560 is an abundant number, since it is smaller than the sum of its proper divisors (9569481840).

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

3966622560 is a wasteful number, since it uses less digits than its factorization.

3966622560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754620 (or 2754609 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 3966622560 is about 62981.1286021456. The cubic root of 3966622560 is about 1582.9734318703.

It can be divided in two parts, 39666 and 22560, that added together give a palindrome (62226).

The spelling of 3966622560 in words is "three billion, nine hundred sixty-six million, six hundred twenty-two thousand, five hundred sixty".