34344002133300 has 72 divisors (see below), whose sum is σ = 99369235996576. Its totient is φ = 9158346207360.

The previous prime is 34344002133269. The next prime is 34344002133313. The reversal of 34344002133300 is 333120044343.

It is a super-2 number, since 2×34344002133300² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 92462754 + ... + 92833446.

Almost surely, 2^{34344002133300} is an apocalyptic number.

34344002133300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34344002133300 is an abundant number, since it is smaller than the sum of its proper divisors (65025233863276).

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

34344002133300 is a wasteful number, since it uses less digits than its factorization.

34344002133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679537 (or 679530 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 34344002133300 its reverse (333120044343), we get a palindrome (34677122177643).

The spelling of 34344002133300 in words is "thirty-four trillion, three hundred forty-four billion, two million, one hundred thirty-three thousand, three hundred".