3446830752 has 96 divisors (see below), whose sum is σ = 9236674944. Its totient is φ = 1125196800.

The previous prime is 3446830703. The next prime is 3446830769. The reversal of 3446830752 is 2570386443.

3446830752 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1068502 + ... + 1071722.

It is an arithmetic number, because the mean of its divisors is an integer number (96215364).

Almost surely, 2^3446830752 is an apocalyptic number.

3446830752 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 3446830752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618337472).

3446830752 is an abundant number, since it is smaller than the sum of its proper divisors (5789844192).

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

3446830752 is a wasteful number, since it uses less digits than its factorization.

3446830752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 3446830752 is about 58709.7159931812. The cubic root of 3446830752 is about 1510.5669774116.

The spelling of 3446830752 in words is "three billion, four hundred forty-six million, eight hundred thirty thousand, seven hundred fifty-two".