3429524225040 has 320 divisors, whose sum is σ = 11566493625600. Its totient is φ = 837092966400.

The previous prime is 3429524225009. The next prime is 3429524225053. The reversal of 3429524225040 is 405224259243.

It is a junction number, because it is equal to n+sod(n) for n = 3429524224983 and 3429524225001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 460273315 + ... + 460280765.

It is an arithmetic number, because the mean of its divisors is an integer number (36145292580).

Almost surely, 2^{3429524225040} is an apocalyptic number.

3429524225040 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 3429524225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783246812800).

3429524225040 is an abundant number, since it is smaller than the sum of its proper divisors (8136969400560).

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

3429524225040 is a wasteful number, since it uses less digits than its factorization.

3429524225040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10570 (or 10564 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 3429524225040 in words is "three trillion, four hundred twenty-nine billion, five hundred twenty-four million, two hundred twenty-five thousand, forty".