3463318656 has 384 divisors, whose sum is σ = 12098211840. Its totient is φ = 929617920.

The previous prime is 3463318643. The next prime is 3463318669. The reversal of 3463318656 is 6568133643.

3463318656 is a `hidden beast` number, since 3 + 4 + 633 + 1 + 8 + 6 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3463318643) and next prime (3463318669).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3463318656² = 23989152225995292672, which contains 22 as substring.

Its product of digits (933120) is a multiple of the sum of its prime factors (384).

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, 13168381 + ... + 13168643.

It is an arithmetic number, because the mean of its divisors is an integer number (31505760).

Almost surely, 2^3463318656 is an apocalyptic number.

3463318656 is a gapful number since it is divisible by the number (36) 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 3463318656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049105920).

3463318656 is an abundant number, since it is smaller than the sum of its proper divisors (8634893184).

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

3463318656 is a wasteful number, since it uses less digits than its factorization.

3463318656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 369 counting only the distinct ones).

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

The square root of 3463318656 is about 58849.9673406876. The cubic root of 3463318656 is about 1512.9717445321.

The spelling of 3463318656 in words is "three billion, four hundred sixty-three million, three hundred eighteen thousand, six hundred fifty-six".