3434725607040 has 2688 divisors, whose sum is σ = 15668688384000. Its totient is φ = 718983143424.

The previous prime is 3434725607029. The next prime is 3434725607063. The reversal of 3434725607040 is 407065274343.

3434725607040 is a `hidden beast` number, since 3 + 4 + 3 + 47 + 2 + 560 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 27045083457 + ... + 27045083583.

Almost surely, 2^{3434725607040} is an apocalyptic number.

3434725607040 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 3434725607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7834344192000).

3434725607040 is an abundant number, since it is smaller than the sum of its proper divisors (12233962776960).

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

3434725607040 is an equidigital number, since it uses as much as digits as its factorization.

3434725607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 3434725607040 in words is "three trillion, four hundred thirty-four billion, seven hundred twenty-five million, six hundred seven thousand, forty".