3427153728000 has 640 divisors, whose sum is σ = 12191552904960. Its totient is φ = 851558400000.

The previous prime is 3427153727983. The next prime is 3427153728073. The reversal of 3427153728000 is 8273517243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222520300 + ... + 222535700.

It is an arithmetic number, because the mean of its divisors is an integer number (19049301414).

Almost surely, 2^{3427153728000} is an apocalyptic number.

3427153728000 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 3427153728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6095776452480).

3427153728000 is an abundant number, since it is smaller than the sum of its proper divisors (8764399176960).

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

3427153728000 is a wasteful number, since it uses less digits than its factorization.

3427153728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15517 (or 15491 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 3427153728000 in words is "three trillion, four hundred twenty-seven billion, one hundred fifty-three million, seven hundred twenty-eight thousand".