35821940 has 72 divisors (see below), whose sum is σ = 95491872. Its totient is φ = 11161920.

The previous prime is 35821939. The next prime is 35821963. The reversal of 35821940 is 4912853.

35821940 = 36² + 37² + ... + 475².

It is a super-2 number, since 2×35821940² = 2566422770727200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35821897 and 35821906.

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 23 ways as a sum of consecutive naturals, for example, 9119 + ... + 12441.

It is an arithmetic number, because the mean of its divisors is an integer number (1326276).

Almost surely, 2^35821940 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 35821940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47745936).

35821940 is an abundant number, since it is smaller than the sum of its proper divisors (59669932).

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

35821940 is a wasteful number, since it uses less digits than its factorization.

35821940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 35821940 is about 5985.1432731389. The cubic root of 35821940 is about 329.6474349088.

The spelling of 35821940 in words is "thirty-five million, eight hundred twenty-one thousand, nine hundred forty".