3420305054400 has 336 divisors, whose sum is σ = 12501357674400. Its totient is φ = 812889047040.

The previous prime is 3420305054357. The next prime is 3420305054401. The reversal of 3420305054400 is 44505030243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3420305054401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 864556 + ... + 2754644.

It is an arithmetic number, because the mean of its divisors is an integer number (37206421650).

Almost surely, 2^{3420305054400} is an apocalyptic number.

3420305054400 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 3420305054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6250678837200).

3420305054400 is an abundant number, since it is smaller than the sum of its proper divisors (9081052620000).

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

3420305054400 is a wasteful number, since it uses less digits than its factorization.

3420305054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890156 (or 1890141 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 3420305054400 in words is "three trillion, four hundred twenty billion, three hundred five million, fifty-four thousand, four hundred".