35738940 has 48 divisors (see below), whose sum is σ = 101058048. Its totient is φ = 9436224.

The previous prime is 35738917. The next prime is 35738953. The reversal of 35738940 is 4983753.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 12.

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 15 ways as a sum of consecutive naturals, for example, 3289 + ... + 9071.

It is an arithmetic number, because the mean of its divisors is an integer number (2105376).

Almost surely, 2^35738940 is an apocalyptic number.

35738940 is a gapful number since it is divisible by the number (30) 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 35738940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50529024).

35738940 is an abundant number, since it is smaller than the sum of its proper divisors (65319108).

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

35738940 is a wasteful number, since it uses less digits than its factorization.

35738940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 35738940 is about 5978.2054163436. The cubic root of 35738940 is about 329.3926385829.

The spelling of 35738940 in words is "thirty-five million, seven hundred thirty-eight thousand, nine hundred forty".