3402133342300 has 144 divisors (see below), whose sum is σ = 9392161363200. Its totient is φ = 1060405080000.

The previous prime is 3402133342249. The next prime is 3402133342301. The reversal of 3402133342300 is 32433312043.

It is a happy number.

It is a super-2 number, since 2×3402133342300² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402133342301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4131226 + ... + 4885825.

It is an arithmetic number, because the mean of its divisors is an integer number (65223342800).

Almost surely, 2^{3402133342300} is an apocalyptic number.

It is an amenable number.

3402133342300 is an abundant number, since it is smaller than the sum of its proper divisors (5990028020900).

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

3402133342300 is a wasteful number, since it uses less digits than its factorization.

3402133342300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9017097 (or 9017076 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 3402133342300 its reverse (32433312043), we get a palindrome (3434566654343).

The spelling of 3402133342300 in words is "three trillion, four hundred two billion, one hundred thirty-three million, three hundred forty-two thousand, three hundred".