3331888560 has 1280 divisors, whose sum is σ = 16318955520. Its totient is φ = 602173440.

The previous prime is 3331888559. The next prime is 3331888577. The reversal of 3331888560 is 658881333.

3331888560 is a `hidden beast` number, since 3 + 3 + 3 + 1 + 8 + 88 + 560 = 666.

It is a super-2 number, since 2×3331888560² = 22202962752517747200, 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 255 ways as a sum of consecutive naturals, for example, 49729647 + ... + 49729713.

It is an arithmetic number, because the mean of its divisors is an integer number (12749184).

Almost surely, 2^3331888560 is an apocalyptic number.

3331888560 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 3331888560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8159477760).

3331888560 is an abundant number, since it is smaller than the sum of its proper divisors (12987066960).

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

3331888560 is a wasteful number, since it uses less digits than its factorization.

3331888560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3331888560 is about 57722.5134587883. The cubic root of 3331888560 is about 1493.5857305279.

The spelling of 3331888560 in words is "three billion, three hundred thirty-one million, eight hundred eighty-eight thousand, five hundred sixty".