3352464960 has 448 divisors, whose sum is σ = 12135916800. Its totient is φ = 778272768.

The previous prime is 3352464959. The next prime is 3352465001. The reversal of 3352464960 is 694642533.

It is a super-2 number, since 2×3352464960² = 22478042616055603200, which contains 22 as substring.

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, 21353202 + ... + 21353358.

It is an arithmetic number, because the mean of its divisors is an integer number (27089100).

Almost surely, 2^3352464960 is an apocalyptic number.

3352464960 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 3352464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067958400).

3352464960 is an abundant number, since it is smaller than the sum of its proper divisors (8783451840).

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

3352464960 is a wasteful number, since it uses less digits than its factorization.

3352464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The square root of 3352464960 is about 57900.4746094538. The cubic root of 3352464960 is about 1496.6540173721.

The spelling of 3352464960 in words is "three billion, three hundred fifty-two million, four hundred sixty-four thousand, nine hundred sixty".