3269894400 has 432 divisors, whose sum is σ = 12165888000. Its totient is φ = 859299840.

The previous prime is 3269894389. The next prime is 3269894417. The reversal of 3269894400 is 44989623.

It is a tau number, because it is divible by the number of its divisors (432).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21945526 + ... + 21945674.

Almost surely, 2^3269894400 is an apocalyptic number.

3269894400 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 3269894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6082944000).

3269894400 is an abundant number, since it is smaller than the sum of its proper divisors (8895993600).

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

3269894400 is a wasteful number, since it uses less digits than its factorization.

3269894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3269894400 is about 57182.9904779385. The cubic root of 3269894400 is about 1484.2643024522.

The spelling of 3269894400 in words is "three billion, two hundred sixty-nine million, eight hundred ninety-four thousand, four hundred".