3403438080000 has 2400 divisors, whose sum is σ = 14740431552000. Its totient is φ = 693633024000.

The previous prime is 3403438079969. The next prime is 3403438080047. The reversal of 3403438080000 is 808343043.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 179128319991 + ... + 179128320009.

It is an arithmetic number, because the mean of its divisors is an integer number (6141846480).

Almost surely, 2^{3403438080000} is an apocalyptic number.

3403438080000 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 3403438080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370215776000).

3403438080000 is an abundant number, since it is smaller than the sum of its proper divisors (11336993472000).

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

3403438080000 is an frugal number, since it uses more digits than its factorization.

3403438080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 3403438080000 in words is "three trillion, four hundred three billion, four hundred thirty-eight million, eighty thousand".