35802120 has 128 divisors (see below), whose sum is σ = 112314240. Its totient is φ = 9123840.

The previous prime is 35802113. The next prime is 35802121. The reversal of 35802120 is 2120853.

It is not an unprimeable number, because it can be changed into a prime (35802121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490404 + ... + 490476.

It is an arithmetic number, because the mean of its divisors is an integer number (877455).

Almost surely, 2^35802120 is an apocalyptic number.

35802120 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 35802120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56157120).

35802120 is an abundant number, since it is smaller than the sum of its proper divisors (76512120).

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

35802120 is a wasteful number, since it uses less digits than its factorization.

35802120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 35802120 is about 5983.4872774996. The cubic root of 35802120 is about 329.5866265743.

Adding to 35802120 its reverse (2120853), we get a palindrome (37922973).

The spelling of 35802120 in words is "thirty-five million, eight hundred two thousand, one hundred twenty".