34402406100 has 36 divisors (see below), whose sum is σ = 99537629184. Its totient is φ = 9173974880.

The previous prime is 34402406081. The next prime is 34402406113. The reversal of 34402406100 is 160420443.

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 11 ways as a sum of consecutive naturals, for example, 57337044 + ... + 57337643.

It is an arithmetic number, because the mean of its divisors is an integer number (2764934144).

Almost surely, 2^34402406100 is an apocalyptic number.

34402406100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34402406100 is an abundant number, since it is smaller than the sum of its proper divisors (65135223084).

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

34402406100 is a wasteful number, since it uses less digits than its factorization.

34402406100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114674704 (or 114674697 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34402406100 its reverse (160420443), we get a palindrome (34562826543).

The spelling of 34402406100 in words is "thirty-four billion, four hundred two million, four hundred six thousand, one hundred".