34102322040 has 64 divisors (see below), whose sum is σ = 104483727360. Its totient is φ = 8900462720.

The previous prime is 34102322003. The next prime is 34102322041. The reversal of 34102322040 is 4022320143.

It is a junction number, because it is equal to n+sod(n) for n = 34102321998 and 34102322016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34102322041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3017616 + ... + 3028895.

It is an arithmetic number, because the mean of its divisors is an integer number (1632558240).

Almost surely, 2^34102322040 is an apocalyptic number.

34102322040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34102322040 is an abundant number, since it is smaller than the sum of its proper divisors (70381405320).

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

34102322040 is a wasteful number, since it uses less digits than its factorization.

34102322040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6046572 (or 6046568 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34102322040 its reverse (4022320143), we get a palindrome (38124642183).

The spelling of 34102322040 in words is "thirty-four billion, one hundred two million, three hundred twenty-two thousand, forty".