35640800 has 144 divisors (see below), whose sum is σ = 98431200. Its totient is φ = 12503040.

The previous prime is 35640799. The next prime is 35640809. The reversal of 35640800 is 804653.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 35640800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35640809) 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, 239126 + ... + 239274.

It is an arithmetic number, because the mean of its divisors is an integer number (683550).

Almost surely, 2^35640800 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 35640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49215600).

35640800 is an abundant number, since it is smaller than the sum of its proper divisors (62790400).

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

35640800 is a wasteful number, since it uses less digits than its factorization.

35640800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 35640800 is about 5969.9916247847. The cubic root of 35640800 is about 329.0908554425.

The spelling of 35640800 in words is "thirty-five million, six hundred forty thousand, eight hundred".