34400110024 has 32 divisors (see below), whose sum is σ = 73724486400. Its totient is φ = 14740911360.

The previous prime is 34400110013. The next prime is 34400110027. The reversal of 34400110024 is 42001100443.

It is a junction number, because it is equal to n+sod(n) for n = 34400109983 and 34400110010.

It is not an unprimeable number, because it can be changed into a prime (34400110027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 422289 + ... + 497119.

It is an arithmetic number, because the mean of its divisors is an integer number (2303890200).

Almost surely, 2^34400110024 is an apocalyptic number.

It is an amenable number.

34400110024 is an abundant number, since it is smaller than the sum of its proper divisors (39324376376).

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

34400110024 is a wasteful number, since it uses less digits than its factorization.

34400110024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83053 (or 83049 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 34400110024 its reverse (42001100443), we get a palindrome (76401210467).

It can be divided in two parts, 344001 and 10024, that added together give a square (354025 = 595²).

The spelling of 34400110024 in words is "thirty-four billion, four hundred million, one hundred ten thousand, twenty-four".