34800696 has 96 divisors (see below), whose sum is σ = 111477600. Its totient is φ = 9596160.

The previous prime is 34800659. The next prime is 34800697. The reversal of 34800696 is 69600843.

It is a super-2 number, since 2×34800696² = 2422176884168832, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34800696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34800697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13426 + ... + 15806.

It is an arithmetic number, because the mean of its divisors is an integer number (1161225).

Almost surely, 2^34800696 is an apocalyptic number.

34800696 is a gapful number since it is divisible by the number (36) 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 34800696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55738800).

34800696 is an abundant number, since it is smaller than the sum of its proper divisors (76676904).

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

34800696 is a wasteful number, since it uses less digits than its factorization.

34800696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 34800696 is about 5899.2114727309. The cubic root of 34800696 is about 326.4845567406.

The spelling of 34800696 in words is "thirty-four million, eight hundred thousand, six hundred ninety-six".