3405002025200 has 120 divisors (see below), whose sum is σ = 8362479433728. Its totient is φ = 1331760234240.

The previous prime is 3405002025193. The next prime is 3405002025283. The reversal of 3405002025200 is 25202005043.

It is a super-2 number, since 2×3405002025200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19899209 + ... + 20069591.

Almost surely, 2^{3405002025200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3405002025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181239716864).

3405002025200 is an abundant number, since it is smaller than the sum of its proper divisors (4957477408528).

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

3405002025200 is a wasteful number, since it uses less digits than its factorization.

3405002025200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171511 (or 171500 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The spelling of 3405002025200 in words is "three trillion, four hundred five billion, two million, twenty-five thousand, two hundred".