34909968 has 80 divisors (see below), whose sum is σ = 96422400. Its totient is φ = 10859520.

The previous prime is 34909967. The next prime is 34909969. The reversal of 34909968 is 86990943.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34909967) and next prime (34909969).

It is a super-2 number, since 2×34909968² = 2437411731522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34909961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42748 + ... + 43556.

It is an arithmetic number, because the mean of its divisors is an integer number (1205280).

Almost surely, 2^34909968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34909968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48211200).

34909968 is an abundant number, since it is smaller than the sum of its proper divisors (61512432).

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

34909968 is a wasteful number, since it uses less digits than its factorization.

34909968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 34909968 is about 5908.4657907108. The cubic root of 34909968 is about 326.8259133785.

The spelling of 34909968 in words is "thirty-four million, nine hundred nine thousand, nine hundred sixty-eight".