34073820630204 has 96 divisors (see below), whose sum is σ = 87209461684800. Its totient is φ = 10306486579200.

The previous prime is 34073820630197. The next prime is 34073820630229. The reversal of 34073820630204 is 40203602837043.

It is a super-2 number, since 2×34073820630204² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38982 + ... + 8255250.

It is an arithmetic number, because the mean of its divisors is an integer number (908431892550).

Almost surely, 2^{34073820630204} is an apocalyptic number.

34073820630204 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34073820630204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43604730842400).

34073820630204 is an abundant number, since it is smaller than the sum of its proper divisors (53135641054596).

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

34073820630204 is a wasteful number, since it uses less digits than its factorization.

34073820630204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8217023 (or 8217021 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 34073820630204 in words is "thirty-four trillion, seventy-three billion, eight hundred twenty million, six hundred thirty thousand, two hundred four".