34968510 has 80 divisors (see below), whose sum is σ = 98166816. Its totient is φ = 8914752.

The previous prime is 34968497. The next prime is 34968511. The reversal of 34968510 is 1586943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34968511) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17692 + ... + 19568.

Almost surely, 2^34968510 is an apocalyptic number.

34968510 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34968510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49083408).

34968510 is an abundant number, since it is smaller than the sum of its proper divisors (63198306).

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

34968510 is a wasteful number, since it uses less digits than its factorization.

34968510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 34968510 is about 5913.4177934592. The cubic root of 34968510 is about 327.0085007469.

The spelling of 34968510 in words is "thirty-four million, nine hundred sixty-eight thousand, five hundred ten".