34845696 has 132 divisors (see below), whose sum is σ = 106444000. Its totient is φ = 10948608.

The previous prime is 34845691. The next prime is 34845721. The reversal of 34845696 is 69654843.

34845696 is a `hidden beast` number, since 3 + 4 + 84 + 569 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34845691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175005 + ... + 175203.

Almost surely, 2^34845696 is an apocalyptic number.

34845696 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 34845696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222000).

34845696 is an abundant number, since it is smaller than the sum of its proper divisors (71598304).

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

34845696 is a wasteful number, since it uses less digits than its factorization.

34845696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 223 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 34845696 is about 5903.0243096230. The cubic root of 34845696 is about 326.6252194163.

It can be divided in two parts, 3484 and 5696, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 34845696 in words is "thirty-four million, eight hundred forty-five thousand, six hundred ninety-six".