34420102040 has 64 divisors (see below), whose sum is σ = 78800256000. Its totient is φ = 13527400320.

The previous prime is 34420102037. The next prime is 34420102051. The reversal of 34420102040 is 4020102443.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7122425 + ... + 7127255.

It is an arithmetic number, because the mean of its divisors is an integer number (1231254000).

Almost surely, 2^34420102040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34420102040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39400128000).

34420102040 is an abundant number, since it is smaller than the sum of its proper divisors (44380153960).

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

34420102040 is a wasteful number, since it uses less digits than its factorization.

34420102040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7920 (or 7916 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 34420102040 its reverse (4020102443), we get a palindrome (38440204483).

The spelling of 34420102040 in words is "thirty-four billion, four hundred twenty million, one hundred two thousand, forty".