3234116160 has 672 divisors, whose sum is σ = 13313664000. Its totient is φ = 739031040.

The previous prime is 3234116147. The next prime is 3234116173. The reversal of 3234116160 is 616114323.

3234116160 is a `hidden beast` number, since 3 + 2 + 3 + 41 + 1 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3234116147) and next prime (3234116173).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16251741 + ... + 16251939.

It is an arithmetic number, because the mean of its divisors is an integer number (19812000).

Almost surely, 2^3234116160 is an apocalyptic number.

3234116160 is a gapful number since it is divisible by the number (30) 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 3234116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656832000).

3234116160 is an abundant number, since it is smaller than the sum of its proper divisors (10079547840).

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

3234116160 is a wasteful number, since it uses less digits than its factorization.

3234116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3234116160 is about 56869.2901309661. The cubic root of 3234116160 is about 1478.8309736110.

The spelling of 3234116160 in words is "three billion, two hundred thirty-four million, one hundred sixteen thousand, one hundred sixty".