3464112960 has 896 divisors, whose sum is σ = 15730606080. Its totient is φ = 696729600.

The previous prime is 3464112941. The next prime is 3464112991. The reversal of 3464112960 is 692114643.

3464112960 is a `hidden beast` number, since 3 + 4 + 641 + 1 + 2 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27276417 + ... + 27276543.

It is an arithmetic number, because the mean of its divisors is an integer number (17556480).

Almost surely, 2^3464112960 is an apocalyptic number.

3464112960 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 3464112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7865303040).

3464112960 is an abundant number, since it is smaller than the sum of its proper divisors (12266493120).

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

3464112960 is a wasteful number, since it uses less digits than its factorization.

3464112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3464112960 is about 58856.7155046899. The cubic root of 3464112960 is about 1513.0874011961.

The spelling of 3464112960 in words is "three billion, four hundred sixty-four million, one hundred twelve thousand, nine hundred sixty".