3332468880 has 240 divisors, whose sum is σ = 12469045680. Its totient is φ = 791949312.

The previous prime is 3332468879. The next prime is 3332468917. The reversal of 3332468880 is 888642333.

It can be written as a sum of positive squares in 8 ways, for example, as 764411904 + 2568056976 = 27648^2 + 50676^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3332468880² = 22210697672336908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265302 + ... + 277578.

It is an arithmetic number, because the mean of its divisors is an integer number (51954357).

Almost surely, 2^3332468880 is an apocalyptic number.

3332468880 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 3332468880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6234522840).

3332468880 is an abundant number, since it is smaller than the sum of its proper divisors (9136576800).

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

3332468880 is a wasteful number, since it uses less digits than its factorization.

3332468880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12338 (or 12329 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 3332468880 is about 57727.5400480568. The cubic root of 3332468880 is about 1493.6724388455.

The spelling of 3332468880 in words is "three billion, three hundred thirty-two million, four hundred sixty-eight thousand, eight hundred eighty".