3200405312 has 112 divisors (see below), whose sum is σ = 7273485072. Its totient is φ = 1384120320.

The previous prime is 3200405309. The next prime is 3200405389. The reversal of 3200405312 is 2135040023.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 61716736 + 3138688576 = 7856^2 + 56024^2 .

It is a super-2 number, since 2×3200405312² = 20485188322155634688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4992512 + ... + 4993152.

It is an arithmetic number, because the mean of its divisors is an integer number (64941831).

Almost surely, 2^3200405312 is an apocalyptic number.

3200405312 is a gapful number since it is divisible by the number (32) 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 3200405312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636742536).

3200405312 is an abundant number, since it is smaller than the sum of its proper divisors (4073079760).

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

3200405312 is a wasteful number, since it uses less digits than its factorization.

3200405312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3200405312 is about 56572.1248672878. The cubic root of 3200405312 is about 1473.6748127535.

Adding to 3200405312 its reverse (2135040023), we get a palindrome (5335445335).

The spelling of 3200405312 in words is "three billion, two hundred million, four hundred five thousand, three hundred twelve".