3420054849600 has 252 divisors, whose sum is σ = 12170494588096. Its totient is φ = 910903311360.

The previous prime is 3420054849593. The next prime is 3420054849649. The reversal of 3420054849600 is 69484500243.

3420054849600 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 0 + 548 + 49 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11706909 + ... + 11995491.

Almost surely, 2^{3420054849600} is an apocalyptic number.

3420054849600 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 3420054849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6085247294048).

3420054849600 is an abundant number, since it is smaller than the sum of its proper divisors (8750439738496).

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

3420054849600 is a wasteful number, since it uses less digits than its factorization.

3420054849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289434 (or 289416 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3420054849600 in words is "three trillion, four hundred twenty billion, fifty-four million, eight hundred forty-nine thousand, six hundred".