34200224303140 has 96 divisors (see below), whose sum is σ = 82151302302720. Its totient is φ = 11715684811776.

The previous prime is 34200224303087. The next prime is 34200224303143. The reversal of 34200224303140 is 4130342200243.

It is a super-2 number, since 2×34200224303140² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34200224303099 and 34200224303108.

It is not an unprimeable number, because it can be changed into a prime (34200224303143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1946171394 + ... + 1946188966.

It is an arithmetic number, because the mean of its divisors is an integer number (855742732320).

Almost surely, 2^{34200224303140} is an apocalyptic number.

It is an amenable number.

34200224303140 is an abundant number, since it is smaller than the sum of its proper divisors (47951077999580).

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

34200224303140 is a wasteful number, since it uses less digits than its factorization.

34200224303140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28781 (or 28779 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 34200224303140 its reverse (4130342200243), we get a palindrome (38330566503383).

The spelling of 34200224303140 in words is "thirty-four trillion, two hundred billion, two hundred twenty-four million, three hundred three thousand, one hundred forty".