3114593664 has 512 divisors, whose sum is σ = 11104128000. Its totient is φ = 765886464.

The previous prime is 3114593627. The next prime is 3114593683. The reversal of 3114593664 is 4663954113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29108299 + ... + 29108405.

It is an arithmetic number, because the mean of its divisors is an integer number (21687750).

Almost surely, 2^3114593664 is an apocalyptic number.

3114593664 is a gapful number since it is divisible by the number (34) 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 3114593664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552064000).

3114593664 is an abundant number, since it is smaller than the sum of its proper divisors (7989534336).

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

3114593664 is a wasteful number, since it uses less digits than its factorization.

3114593664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 3114593664 is about 55808.5447221122. The cubic root of 3114593664 is about 1460.3842211393.

It can be divided in two parts, 3114 and 593664, that added together give a triangular number (596778 = T₁₀₉₂).

The spelling of 3114593664 in words is "three billion, one hundred fourteen million, five hundred ninety-three thousand, six hundred sixty-four".