3420054430800 has 360 divisors, whose sum is σ = 13493904656256. Its totient is φ = 735742586880.

The previous prime is 3420054430789. The next prime is 3420054430841. The reversal of 3420054430800 is 80344500243.

It is a super-3 number, since 3×3420054430800³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 711112 + ... + 2710311.

Almost surely, 2^{3420054430800} is an apocalyptic number.

3420054430800 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 3420054430800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6746952328128).

3420054430800 is an abundant number, since it is smaller than the sum of its proper divisors (10073850225456).

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

3420054430800 is a wasteful number, since it uses less digits than its factorization.

3420054430800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421475 (or 3421457 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 3420054430800 in words is "three trillion, four hundred twenty billion, fifty-four million, four hundred thirty thousand, eight hundred".