3297782400 has 576 divisors, whose sum is σ = 12717311040. Its totient is φ = 747929600.

The previous prime is 3297782381. The next prime is 3297782407. The reversal of 3297782400 is 42877923.

It is not an unprimeable number, because it can be changed into a prime (3297782407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19747117 + ... + 19747283.

It is an arithmetic number, because the mean of its divisors is an integer number (22078665).

Almost surely, 2^3297782400 is an apocalyptic number.

3297782400 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 3297782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6358655520).

3297782400 is an abundant number, since it is smaller than the sum of its proper divisors (9419528640).

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

3297782400 is a wasteful number, since it uses less digits than its factorization.

3297782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 3297782400 is about 57426.3214911072. The cubic root of 3297782400 is about 1488.4719857798.

The spelling of 3297782400 in words is "three billion, two hundred ninety-seven million, seven hundred eighty-two thousand, four hundred".