3504200125200 has 120 divisors (see below), whose sum is σ = 11228729711136. Its totient is φ = 934152960000.

The previous prime is 3504200125189. The next prime is 3504200125213. The reversal of 3504200125200 is 25210024053.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3277375 + ... + 4213025.

Almost surely, 2^{3504200125200} is an apocalyptic number.

3504200125200 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 3504200125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5614364855568).

3504200125200 is an abundant number, since it is smaller than the sum of its proper divisors (7724529585936).

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

3504200125200 is a wasteful number, since it uses less digits than its factorization.

3504200125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938793 (or 938782 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 3504200125200 its reverse (25210024053), we get a palindrome (3529410149253).

The spelling of 3504200125200 in words is "three trillion, five hundred four billion, two hundred million, one hundred twenty-five thousand, two hundred".