3297966840 has 448 divisors, whose sum is σ = 12918735360. Its totient is φ = 741830400.

The previous prime is 3297966839. The next prime is 3297966851. The reversal of 3297966840 is 486697923.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 21840765 + ... + 21840915.

Almost surely, 2^3297966840 is an apocalyptic number.

3297966840 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 3297966840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6459367680).

3297966840 is an abundant number, since it is smaller than the sum of its proper divisors (9620768520).

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

3297966840 is a wasteful number, since it uses less digits than its factorization.

3297966840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3297966840 is about 57427.9273524650. The cubic root of 3297966840 is about 1488.4997345941.

The spelling of 3297966840 in words is "three billion, two hundred ninety-seven million, nine hundred sixty-six thousand, eight hundred forty".