34106890840830 has 40 divisors (see below), whose sum is σ = 91709639818632. Its totient is φ = 9095170890672.

The previous prime is 34106890840829. The next prime is 34106890840903. The reversal of 34106890840830 is 3804809860143.

34106890840830 is a `hidden beast` number, since 3 + 410 + 68 + 90 + 8 + 4 + 0 + 83 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21053635512 + ... + 21053637131.

Almost surely, 2^{34106890840830} is an apocalyptic number.

34106890840830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34106890840830 is an abundant number, since it is smaller than the sum of its proper divisors (57602748977802).

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

34106890840830 is a wasteful number, since it uses less digits than its factorization.

34106890840830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42107272662 (or 42107272653 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 34106890840830 in words is "thirty-four trillion, one hundred six billion, eight hundred ninety million, eight hundred forty thousand, eight hundred thirty".