3429895389120 has 336 divisors, whose sum is σ = 12279907916640. Its totient is φ = 911233069056.

The previous prime is 3429895389103. The next prime is 3429895389131. The reversal of 3429895389120 is 219835989243.

3429895389120 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 8 + 9 + 538 + 91 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20835454 + ... + 20999426.

It is an arithmetic number, because the mean of its divisors is an integer number (36547344990).

Almost surely, 2^{3429895389120} is an apocalyptic number.

3429895389120 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 3429895389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6139953958320).

3429895389120 is an abundant number, since it is smaller than the sum of its proper divisors (8850012527520).

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

3429895389120 is a wasteful number, since it uses less digits than its factorization.

3429895389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164274 (or 164252 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 3429895389120 in words is "three trillion, four hundred twenty-nine billion, eight hundred ninety-five million, three hundred eighty-nine thousand, one hundred twenty".