35420368 has 40 divisors (see below), whose sum is σ = 74102400. Its totient is φ = 16351104.

The previous prime is 35420353. The next prime is 35420381. The reversal of 35420368 is 86302453.

It is a super-3 number, since 3×35420368³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9013 + ... + 12331.

It is an arithmetic number, because the mean of its divisors is an integer number (1852560).

Almost surely, 2^35420368 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 35420368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37051200).

35420368 is an abundant number, since it is smaller than the sum of its proper divisors (38682032).

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

35420368 is a wasteful number, since it uses less digits than its factorization.

35420368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 35420368 is about 5951.5013231957. The cubic root of 35420368 is about 328.4109957977.

The spelling of 35420368 in words is "thirty-five million, four hundred twenty thousand, three hundred sixty-eight".