35416940 has 48 divisors (see below), whose sum is σ = 80650080. Its totient is φ = 12986880.

The previous prime is 35416919. The next prime is 35416949. The reversal of 35416940 is 4961453.

35416940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 35416897 and 35416906.

It is not an unprimeable number, because it can be changed into a prime (35416949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46160 + ... + 46920.

It is an arithmetic number, because the mean of its divisors is an integer number (1680210).

Almost surely, 2^35416940 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 35416940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40325040).

35416940 is an abundant number, since it is smaller than the sum of its proper divisors (45233140).

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

35416940 is a wasteful number, since it uses less digits than its factorization.

35416940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 35416940 is about 5951.2133216681. The cubic root of 35416940 is about 328.4004008653.

The spelling of 35416940 in words is "thirty-five million, four hundred sixteen thousand, nine hundred forty".