3234140125200 has 120 divisors (see below), whose sum is σ = 11511143224800. Its totient is φ = 862437363840.

The previous prime is 3234140125187. The next prime is 3234140125211. The reversal of 3234140125200 is 25210414323.

3234140125200 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 1 + 401 + 252 + 0 + 0 = 666.

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 (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149717910 + ... + 149739509.

It is an arithmetic number, because the mean of its divisors is an integer number (95926193540).

Almost surely, 2^{3234140125200} is an apocalyptic number.

3234140125200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3234140125200 is an abundant number, since it is smaller than the sum of its proper divisors (8277003099600).

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

3234140125200 is a wasteful number, since it uses less digits than its factorization.

3234140125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299457446 (or 299457429 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 3234140125200 its reverse (25210414323), we get a palindrome (3259350539523).

The spelling of 3234140125200 in words is "three trillion, two hundred thirty-four billion, one hundred forty million, one hundred twenty-five thousand, two hundred".