3460106912 has 72 divisors (see below), whose sum is σ = 7189176960. Its totient is φ = 1637585280.

The previous prime is 3460106893. The next prime is 3460106927. The reversal of 3460106912 is 2196010643.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2190539 + ... + 2192117.

It is an arithmetic number, because the mean of its divisors is an integer number (99849680).

Almost surely, 2^3460106912 is an apocalyptic number.

3460106912 is a gapful number since it is divisible by the number (32) 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 3460106912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594588480).

3460106912 is an abundant number, since it is smaller than the sum of its proper divisors (3729070048).

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

3460106912 is a wasteful number, since it uses less digits than its factorization.

3460106912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 3460106912 is about 58822.6734516547. The cubic root of 3460106912 is about 1512.5039099414.

The spelling of 3460106912 in words is "three billion, four hundred sixty million, one hundred six thousand, nine hundred twelve".