3283470400 has 336 divisors, whose sum is σ = 9776358400. Its totient is φ = 1083801600.

The previous prime is 3283470397. The next prime is 3283470401. The reversal of 3283470400 is 40743823.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3283470401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17012704 + ... + 17012896.

Almost surely, 2^3283470400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3283470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4888179200).

3283470400 is an abundant number, since it is smaller than the sum of its proper divisors (6492888000).

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

3283470400 is a wasteful number, since it uses less digits than its factorization.

3283470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 3283470400 is about 57301.5741494071. The cubic root of 3283470400 is about 1486.3155969768.

The spelling of 3283470400 in words is "three billion, two hundred eighty-three million, four hundred seventy thousand, four hundred".