3430885718400 has 384 divisors, whose sum is σ = 13158523872000. Its totient is φ = 769405378560.

The previous prime is 3430885718383. The next prime is 3430885718411. The reversal of 3430885718400 is 48175880343.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 3079951 + ... + 4043249.

It is an arithmetic number, because the mean of its divisors is an integer number (34266989250).

Almost surely, 2^{3430885718400} is an apocalyptic number.

3430885718400 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 3430885718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6579261936000).

3430885718400 is an abundant number, since it is smaller than the sum of its proper divisors (9727638153600).

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

3430885718400 is a wasteful number, since it uses less digits than its factorization.

3430885718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963386 (or 963369 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 3430885718400 in words is "three trillion, four hundred thirty billion, eight hundred eighty-five million, seven hundred eighteen thousand, four hundred".