34806996 has 120 divisors (see below), whose sum is σ = 105705600. Its totient is φ = 9782208.

The previous prime is 34806983. The next prime is 34806997. The reversal of 34806996 is 69960843.

34806996 is a nontrivial binomial coefficient, being equal to C(8344, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34806997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 233530 + ... + 233678.

It is an arithmetic number, because the mean of its divisors is an integer number (880880).

Almost surely, 2^34806996 is an apocalyptic number.

34806996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34806996 is the 8343-rd triangular number and also the 4172-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34806996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52852800).

34806996 is an abundant number, since it is smaller than the sum of its proper divisors (70898604).

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

34806996 is a wasteful number, since it uses less digits than its factorization.

34806996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 34806996 is about 5899.7454182363. The cubic root of 34806996 is about 326.5042568121.

The spelling of 34806996 in words is "thirty-four million, eight hundred six thousand, nine hundred ninety-six".