3331654560 has 864 divisors, whose sum is σ = 14154089040. Its totient is φ = 706019328.

The previous prime is 3331654553. The next prime is 3331654561. The reversal of 3331654560 is 654561333.

3331654560 is a `hidden beast` number, since 3 + 3 + 31 + 65 + 4 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1314207504 + 2017447056 = 36252^2 + 44916^2 .

It is a super-2 number, since 2×3331654560² = 22199844214337587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3331654561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 114884626 + ... + 114884654.

Almost surely, 2^3331654560 is an apocalyptic number.

3331654560 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 3331654560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077044520).

3331654560 is an abundant number, since it is smaller than the sum of its proper divisors (10822434480).

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

3331654560 is a wasteful number, since it uses less digits than its factorization.

3331654560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 3331654560 is about 57720.4864844364. The cubic root of 3331654560 is about 1493.5507646483.

The spelling of 3331654560 in words is "three billion, three hundred thirty-one million, six hundred fifty-four thousand, five hundred sixty".