34351892106 has 32 divisors (see below), whose sum is σ = 79091752320. Its totient is φ = 9743183616.

The previous prime is 34351892101. The next prime is 34351892111. The reversal of 34351892106 is 60129815343.

It is an interprime number because it is at equal distance from previous prime (34351892101) and next prime (34351892111).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (34351892101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2979291 + ... + 2990798.

It is an arithmetic number, because the mean of its divisors is an integer number (2471617260).

Almost surely, 2^34351892106 is an apocalyptic number.

34351892106 is an abundant number, since it is smaller than the sum of its proper divisors (44739860214).

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

34351892106 is a wasteful number, since it uses less digits than its factorization.

34351892106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5970238.

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 34351892106 in words is "thirty-four billion, three hundred fifty-one million, eight hundred ninety-two thousand, one hundred six".