3334425102000 has 960 divisors, whose sum is σ = 12785721661440. Its totient is φ = 837568512000.

The previous prime is 3334425101971. The next prime is 3334425102013. The reversal of 3334425102000 is 2015244333.

3334425102000 is a `hidden beast` number, since 3 + 3 + 3 + 442 + 5 + 10 + 200 + 0 = 666.

It is a super-2 number, since 2×3334425102000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1782161065 + ... + 1782162935.

It is an arithmetic number, because the mean of its divisors is an integer number (13318460064).

Almost surely, 2^{3334425102000} is an apocalyptic number.

3334425102000 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 3334425102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6392860830720).

3334425102000 is an abundant number, since it is smaller than the sum of its proper divisors (9451296559440).

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

3334425102000 is a wasteful number, since it uses less digits than its factorization.

3334425102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 3334425102000 in words is "three trillion, three hundred thirty-four billion, four hundred twenty-five million, one hundred two thousand".