34916736 has 64 divisors (see below), whose sum is σ = 94003200. Its totient is φ = 11481600.

The previous prime is 34916729. The next prime is 34916741. The reversal of 34916736 is 63761943.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 34916694 and 34916703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29761 + ... + 30911.

It is an arithmetic number, because the mean of its divisors is an integer number (1468800).

Almost surely, 2^34916736 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 34916736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47001600).

34916736 is an abundant number, since it is smaller than the sum of its proper divisors (59086464).

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

34916736 is a wasteful number, since it uses less digits than its factorization.

34916736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1235 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 34916736 is about 5909.0385004669. The cubic root of 34916736 is about 326.8470326077.

The spelling of 34916736 in words is "thirty-four million, nine hundred sixteen thousand, seven hundred thirty-six".