34074034100 has 36 divisors (see below), whose sum is σ = 74061408204. Its totient is φ = 13607354880.

The previous prime is 34074034061. The next prime is 34074034109. The reversal of 34074034100 is 143047043.

It can be written as a sum of positive squares in 6 ways, for example, as 2488213924 + 31585820176 = 49882^2 + 177724^2 .

It is a super-2 number, since 2×34074034100² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34074034100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34074034109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216629 + ... + 339228.

It is an arithmetic number, because the mean of its divisors is an integer number (2057261339).

Almost surely, 2^34074034100 is an apocalyptic number.

It is an amenable number.

34074034100 is an abundant number, since it is smaller than the sum of its proper divisors (39987374104).

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

34074034100 is a wasteful number, since it uses less digits than its factorization.

34074034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556484 (or 556477 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The spelling of 34074034100 in words is "thirty-four billion, seventy-four million, thirty-four thousand, one hundred".