34424343402090 has 128 divisors (see below), whose sum is σ = 90276078182400. Its totient is φ = 8377893054720.

The previous prime is 34424343402083. The next prime is 34424343402107. The reversal of 34424343402090 is 9020434342443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13682080 + ... + 16001499.

It is an arithmetic number, because the mean of its divisors is an integer number (705281860800).

Almost surely, 2^{34424343402090} is an apocalyptic number.

34424343402090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34424343402090 is an abundant number, since it is smaller than the sum of its proper divisors (55851734780310).

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

34424343402090 is a wasteful number, since it uses less digits than its factorization.

34424343402090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29683692.

The product of its (nonzero) digits is 995328, while the sum is 42.

The spelling of 34424343402090 in words is "thirty-four trillion, four hundred twenty-four billion, three hundred forty-three million, four hundred two thousand, ninety".