34294680 has 192 divisors, whose sum is σ = 131788800. Its totient is φ = 7568640.

The previous prime is 34294669. The next prime is 34294697. The reversal of 34294680 is 8649243.

It is a happy number.

It is a super-2 number, since 2×34294680² = 2352250152604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 77901 + ... + 78339.

It is an arithmetic number, because the mean of its divisors is an integer number (686400).

Almost surely, 2^34294680 is an apocalyptic number.

34294680 is a gapful number since it is divisible by the number (30) 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 34294680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65894400).

34294680 is an abundant number, since it is smaller than the sum of its proper divisors (97494120).

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

34294680 is a wasteful number, since it uses less digits than its factorization.

34294680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 34294680 is about 5856.1659812543. The cubic root of 34294680 is about 324.8944193533.

The spelling of 34294680 in words is "thirty-four million, two hundred ninety-four thousand, six hundred eighty".