34224101400 has 48 divisors (see below), whose sum is σ = 106094716200. Its totient is φ = 9126426880.

The previous prime is 34224101371. The next prime is 34224101449. The reversal of 34224101400 is 410142243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28519485 + ... + 28520684.

Almost surely, 2^34224101400 is an apocalyptic number.

34224101400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34224101400 is an abundant number, since it is smaller than the sum of its proper divisors (71870614800).

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

34224101400 is a wasteful number, since it uses less digits than its factorization.

34224101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57040188 (or 57040179 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 34224101400 its reverse (410142243), we get a palindrome (34634243643).

The spelling of 34224101400 in words is "thirty-four billion, two hundred twenty-four million, one hundred one thousand, four hundred".