3438430560000 has 1260 divisors, whose sum is σ = 13190883441120. Its totient is φ = 893306880000.

The previous prime is 3438430559981. The next prime is 3438430560023. The reversal of 3438430560000 is 650348343.

3438430560000 is a `hidden beast` number, since 3 + 4 + 3 + 8 + 43 + 0 + 5 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 4782239641 + ... + 4782240359.

It is an arithmetic number, because the mean of its divisors is an integer number (10468955112).

Almost surely, 2^{3438430560000} is an apocalyptic number.

3438430560000 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 3438430560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6595441720560).

3438430560000 is an abundant number, since it is smaller than the sum of its proper divisors (9752452881120).

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

3438430560000 is an frugal number, since it uses more digits than its factorization.

3438430560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 3438430560000 in words is "three trillion, four hundred thirty-eight billion, four hundred thirty million, five hundred sixty thousand".