3425296896000 has 3328 divisors, whose sum is σ = 16094096179200. Its totient is φ = 709469798400.

The previous prime is 3425296895959. The next prime is 3425296896103. The reversal of 3425296896000 is 6986925243.

It is a happy number.

3425296896000 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 29 + 6 + 8 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 148925951989 + ... + 148925952011.

It is an arithmetic number, because the mean of its divisors is an integer number (4835966400).

Almost surely, 2^{3425296896000} is an apocalyptic number.

3425296896000 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 3425296896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8047048089600).

3425296896000 is an abundant number, since it is smaller than the sum of its proper divisors (12668799283200).

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

3425296896000 is an frugal number, since it uses more digits than its factorization.

3425296896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 3425296896000 in words is "three trillion, four hundred twenty-five billion, two hundred ninety-six million, eight hundred ninety-six thousand".