3403431200 has 144 divisors (see below), whose sum is σ = 9050748840. Its totient is φ = 1242193920.

The previous prime is 3403431121. The next prime is 3403431247. The reversal of 3403431200 is 21343043.

It can be written as a sum of positive squares in 12 ways, for example, as 8271376 + 3395159824 = 2876^2 + 58268^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 923762 + ... + 927438.

Almost surely, 2^3403431200 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 3403431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525374420).

3403431200 is an abundant number, since it is smaller than the sum of its proper divisors (5647317640).

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

3403431200 is a wasteful number, since it uses less digits than its factorization.

3403431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3403431200 is about 58338.9338263908. The cubic root of 3403431200 is about 1504.2002572112.

Adding to 3403431200 its reverse (21343043), we get a palindrome (3424774243).

The spelling of 3403431200 in words is "three billion, four hundred three million, four hundred thirty-one thousand, two hundred".