3200870400 has 576 divisors, whose sum is σ = 13080412800. Its totient is φ = 672399360.

The previous prime is 3200870341. The next prime is 3200870459. The reversal of 3200870400 is 40780023.

It is an interprime number because it is at equal distance from previous prime (3200870341) and next prime (3200870459).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 13977486 + ... + 13977714.

It is an arithmetic number, because the mean of its divisors is an integer number (22709050).

Almost surely, 2^3200870400 is an apocalyptic number.

3200870400 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 3200870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540206400).

3200870400 is an abundant number, since it is smaller than the sum of its proper divisors (9879542400).

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

3200870400 is a wasteful number, since it uses less digits than its factorization.

3200870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3200870400 is about 56576.2352936284. The cubic root of 3200870400 is about 1473.7461948866.

The spelling of 3200870400 in words is "three billion, two hundred million, eight hundred seventy thousand, four hundred".