3412044960 has 96 divisors (see below), whose sum is σ = 10760662080. Its totient is φ = 908802048.

The previous prime is 3412044953. The next prime is 3412045001. The reversal of 3412044960 is 694402143.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3412044960² = 23284101618122803200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453711 + ... + 461169.

It is an arithmetic number, because the mean of its divisors is an integer number (112090230).

Almost surely, 2^3412044960 is an apocalyptic number.

3412044960 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 3412044960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380331040).

3412044960 is an abundant number, since it is smaller than the sum of its proper divisors (7348617120).

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

3412044960 is a wasteful number, since it uses less digits than its factorization.

3412044960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8430 (or 8422 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3412044960 is about 58412.7123150432. The cubic root of 3412044960 is about 1505.4681839754.

The spelling of 3412044960 in words is "three billion, four hundred twelve million, forty-four thousand, nine hundred sixty".