3964960512 has 216 divisors, whose sum is σ = 12084520448. Its totient is φ = 1248307200.

The previous prime is 3964960511. The next prime is 3964960513. The reversal of 3964960512 is 2150694693.

3964960512 is a `hidden beast` number, since 3 + 96 + 49 + 6 + 0 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (3964960511) and next prime (3964960513).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3964960511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3070587 + ... + 3071877.

Almost surely, 2^3964960512 is an apocalyptic number.

3964960512 is a gapful number since it is divisible by the number (32) 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 3964960512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6042260224).

3964960512 is an abundant number, since it is smaller than the sum of its proper divisors (8119559936).

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

3964960512 is a wasteful number, since it uses less digits than its factorization.

3964960512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3964960512 is about 62967.9324100768. The cubic root of 3964960512 is about 1582.7523079511.

The spelling of 3964960512 in words is "three billion, nine hundred sixty-four million, nine hundred sixty thousand, five hundred twelve".