3291066240 has 512 divisors, whose sum is σ = 13261501440. Its totient is φ = 674365440.

The previous prime is 3291066223. The next prime is 3291066253. The reversal of 3291066240 is 426601923.

It is a super-2 number, since 2×3291066240² = 21662233992135475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16705822 + ... + 16706018.

It is an arithmetic number, because the mean of its divisors is an integer number (25901370).

Almost surely, 2^3291066240 is an apocalyptic number.

3291066240 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 3291066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630750720).

3291066240 is an abundant number, since it is smaller than the sum of its proper divisors (9970435200).

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

3291066240 is a wasteful number, since it uses less digits than its factorization.

3291066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3291066240 is about 57367.8153671551. The cubic root of 3291066240 is about 1487.4608406234.

The spelling of 3291066240 in words is "three billion, two hundred ninety-one million, sixty-six thousand, two hundred forty".