3296966400 has 1296 divisors, whose sum is σ = 15776115264. Its totient is φ = 637009920.

The previous prime is 3296966399. The next prime is 3296966419. The reversal of 3296966400 is 46696923.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89107182 + ... + 89107218.

Almost surely, 2^3296966400 is an apocalyptic number.

3296966400 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 3296966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7888057632).

3296966400 is an abundant number, since it is smaller than the sum of its proper divisors (12479148864).

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

3296966400 is a wasteful number, since it uses less digits than its factorization.

3296966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3296966400 is about 57419.2162955922. The cubic root of 3296966400 is about 1488.3492069761.

The spelling of 3296966400 in words is "three billion, two hundred ninety-six million, nine hundred sixty-six thousand, four hundred".