3966349464 has 128 divisors (see below), whose sum is σ = 13736332800. Its totient is φ = 1030216320.

The previous prime is 3966349463. The next prime is 3966349501. The reversal of 3966349464 is 4649436693.

3966349464 is a `hidden beast` number, since 3 + 96 + 6 + 3 + 494 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3966349464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3966349463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102607 + ... + 135870.

It is an arithmetic number, because the mean of its divisors is an integer number (107315100).

Almost surely, 2^3966349464 is an apocalyptic number.

It is an amenable number.

3966349464 is an abundant number, since it is smaller than the sum of its proper divisors (9769983336).

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

3966349464 is a wasteful number, since it uses less digits than its factorization.

3966349464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238510 (or 238500 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 54.

The square root of 3966349464 is about 62978.9604868165. The cubic root of 3966349464 is about 1582.9371025895.

The spelling of 3966349464 in words is "three billion, nine hundred sixty-six million, three hundred forty-nine thousand, four hundred sixty-four".