3400242125200 has 30 divisors (see below), whose sum is σ = 8169081706754. Its totient is φ = 1360096849920.

The previous prime is 3400242125183. The next prime is 3400242125213. The reversal of 3400242125200 is 25212420043.

3400242125200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 116013809664 + 3284228315536 = 340608^2 + 1812244^2 .

It is a super-2 number, since 2×3400242125200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4250302257 + ... + 4250303056.

Almost surely, 2^{3400242125200} is an apocalyptic number.

It is an amenable number.

3400242125200 is an abundant number, since it is smaller than the sum of its proper divisors (4768839581554).

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

3400242125200 is a wasteful number, since it uses less digits than its factorization.

3400242125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8500605331 (or 8500605320 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 3400242125200 its reverse (25212420043), we get a palindrome (3425454545243).

The spelling of 3400242125200 in words is "three trillion, four hundred billion, two hundred forty-two million, one hundred twenty-five thousand, two hundred".