3434315430400 has 240 divisors, whose sum is σ = 8571765121920. Its totient is φ = 1363588300800.

The previous prime is 3434315430379. The next prime is 3434315430407. The reversal of 3434315430400 is 40345134343.

It is not an unprimeable number, because it can be changed into a prime (3434315430407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1684312581 + ... + 1684314619.

It is an arithmetic number, because the mean of its divisors is an integer number (35715688008).

Almost surely, 2^{3434315430400} 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 3434315430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285882560960).

3434315430400 is an abundant number, since it is smaller than the sum of its proper divisors (5137449691520).

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

3434315430400 is a wasteful number, since it uses less digits than its factorization.

3434315430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

The spelling of 3434315430400 in words is "three trillion, four hundred thirty-four billion, three hundred fifteen million, four hundred thirty thousand, four hundred".