3463956144 has 80 divisors (see below), whose sum is σ = 10846746240. Its totient is φ = 1049682240.

The previous prime is 3463956137. The next prime is 3463956149. The reversal of 3463956144 is 4416593643.

3463956144 is a `hidden beast` number, since 3 + 4 + 639 + 5 + 6 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3463956144.

It is not an unprimeable number, because it can be changed into a prime (3463956149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359722 + ... + 369225.

It is an arithmetic number, because the mean of its divisors is an integer number (135584328).

Almost surely, 2^3463956144 is an apocalyptic number.

It is an amenable number.

3463956144 is an abundant number, since it is smaller than the sum of its proper divisors (7382790096).

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

3463956144 is a wasteful number, since it uses less digits than its factorization.

3463956144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728975 (or 728963 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 3463956144 is about 58855.3833051829. The cubic root of 3463956144 is about 1513.0645690024.

The spelling of 3463956144 in words is "three billion, four hundred sixty-three million, nine hundred fifty-six thousand, one hundred forty-four".