35345680 has 40 divisors (see below), whose sum is σ = 82666584. Its totient is φ = 14054400.

The previous prime is 35345671. The next prime is 35345683. The reversal of 35345680 is 8654353.

It can be written as a sum of positive squares in 4 ways, for example, as 2214144 + 33131536 = 1488^2 + 5756^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35345683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13260 + ... + 15700.

Almost surely, 2^35345680 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 35345680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41333292).

35345680 is an abundant number, since it is smaller than the sum of its proper divisors (47320904).

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

35345680 is a wasteful number, since it uses less digits than its factorization.

35345680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 35345680 is about 5945.2232926947. The cubic root of 35345680 is about 328.1800023292.

The spelling of 35345680 in words is "thirty-five million, three hundred forty-five thousand, six hundred eighty".