3425313045000 has 640 divisors, whose sum is σ = 13439106109440. Its totient is φ = 706525440000.

The previous prime is 3425313044977. The next prime is 3425313045017. The reversal of 3425313045000 is 5403135243.

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

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, 158224177 + ... + 158245823.

It is an arithmetic number, because the mean of its divisors is an integer number (20998603296).

Almost surely, 2^{3425313045000} is an apocalyptic number.

3425313045000 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 3425313045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6719553054720).

3425313045000 is an abundant number, since it is smaller than the sum of its proper divisors (10013793064440).

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

3425313045000 is a wasteful number, since it uses less digits than its factorization.

3425313045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21831 (or 21812 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 3425313045000 in words is "three trillion, four hundred twenty-five billion, three hundred thirteen million, forty-five thousand".