3285458400 has 288 divisors, whose sum is σ = 12284213760. Its totient is φ = 747141120.

The previous prime is 3285458347. The next prime is 3285458411. The reversal of 3285458400 is 48545823.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4518837 + ... + 4519563.

It is an arithmetic number, because the mean of its divisors is an integer number (42653520).

Almost surely, 2^3285458400 is an apocalyptic number.

3285458400 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 3285458400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142106880).

3285458400 is an abundant number, since it is smaller than the sum of its proper divisors (8998755360).

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

3285458400 is a wasteful number, since it uses less digits than its factorization.

3285458400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The square root of 3285458400 is about 57318.9183428997. The cubic root of 3285458400 is about 1486.6155031648.

The spelling of 3285458400 in words is "three billion, two hundred eighty-five million, four hundred fifty-eight thousand, four hundred".