3439430400 has 432 divisors, whose sum is σ = 13135103744. Its totient is φ = 776355840.

The previous prime is 3439430339. The next prime is 3439430411. The reversal of 3439430400 is 40349343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21100719 + ... + 21100881.

Almost surely, 2^3439430400 is an apocalyptic number.

3439430400 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 3439430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6567551872).

3439430400 is an abundant number, since it is smaller than the sum of its proper divisors (9695673344).

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

3439430400 is a wasteful number, since it uses less digits than its factorization.

3439430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 3439430400 is about 58646.6571937395. The cubic root of 3439430400 is about 1509.4851394409.

Adding to 3439430400 its reverse (40349343), we get a palindrome (3479779743).

The spelling of 3439430400 in words is "three billion, four hundred thirty-nine million, four hundred thirty thousand, four hundred".