3446446080 has 768 divisors, whose sum is σ = 14491975680. Its totient is φ = 678297600.

The previous prime is 3446446079. The next prime is 3446446123. The reversal of 3446446080 is 806446443.

It is a tau number, because it is divible by the number of its divisors (768).

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, 73328617 + ... + 73328663.

It is an arithmetic number, because the mean of its divisors is an integer number (18869760).

Almost surely, 2^3446446080 is an apocalyptic number.

3446446080 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 3446446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7245987840).

3446446080 is an abundant number, since it is smaller than the sum of its proper divisors (11045529600).

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

3446446080 is a wasteful number, since it uses less digits than its factorization.

3446446080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The square root of 3446446080 is about 58706.4398511782. The cubic root of 3446446080 is about 1510.5107813985.

The spelling of 3446446080 in words is "three billion, four hundred forty-six million, four hundred forty-six thousand, eighty".