35813820 has 96 divisors (see below), whose sum is σ = 116315136. Its totient is φ = 8064000.

The previous prime is 35813819. The next prime is 35813851. The reversal of 35813820 is 2831853.

It is a happy number.

35813820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 29220 + ... + 30420.

It is an arithmetic number, because the mean of its divisors is an integer number (1211616).

Almost surely, 2^35813820 is an apocalyptic number.

35813820 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 35813820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58157568).

35813820 is an abundant number, since it is smaller than the sum of its proper divisors (80501316).

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

35813820 is a wasteful number, since it uses less digits than its factorization.

35813820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 35813820 is about 5984.4648883589. The cubic root of 35813820 is about 329.6225252264.

The spelling of 35813820 in words is "thirty-five million, eight hundred thirteen thousand, eight hundred twenty".