3430330400 has 144 divisors (see below), whose sum is σ = 9987110784. Its totient is φ = 1124935680.

The previous prime is 3430330381. The next prime is 3430330429. The reversal of 3430330400 is 40330343.

It is a happy number.

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

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 23 ways as a sum of consecutive naturals, for example, 115484 + ... + 142116.

It is an arithmetic number, because the mean of its divisors is an integer number (69354936).

Almost surely, 2^3430330400 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 3430330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993555392).

3430330400 is an abundant number, since it is smaller than the sum of its proper divisors (6556780384).

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

3430330400 is a wasteful number, since it uses less digits than its factorization.

3430330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26683 (or 26670 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 3430330400 is about 58569.0225289786. The cubic root of 3430330400 is about 1508.1527049520.

Adding to 3430330400 its reverse (40330343), we get a palindrome (3470660743).

The spelling of 3430330400 in words is "three billion, four hundred thirty million, three hundred thirty thousand, four hundred".