35965404 has 96 divisors (see below), whose sum is σ = 104025600. Its totient is φ = 10679040.

The previous prime is 35965381. The next prime is 35965409. The reversal of 35965404 is 40456953.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35965409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34369 + ... + 35399.

It is an arithmetic number, because the mean of its divisors is an integer number (1083600).

Almost surely, 2^35965404 is an apocalyptic number.

35965404 is a gapful number since it is divisible by the number (34) 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 35965404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52012800).

35965404 is an abundant number, since it is smaller than the sum of its proper divisors (68060196).

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

35965404 is a wasteful number, since it uses less digits than its factorization.

35965404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 35965404 is about 5997.1163070262. The cubic root of 35965404 is about 330.0869192529.

The spelling of 35965404 in words is "thirty-five million, nine hundred sixty-five thousand, four hundred four".