35386920 has 48 divisors (see below), whose sum is σ = 115008660. Its totient is φ = 9436416.

The previous prime is 35386891. The next prime is 35386927. The reversal of 35386920 is 2968353.

35386920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 32421636 + 2965284 = 5694^2 + 1722^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (35386927) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 48789 + ... + 49508.

Almost surely, 2^35386920 is an apocalyptic number.

35386920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35386920 is an abundant number, since it is smaller than the sum of its proper divisors (79621740).

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

35386920 is a wasteful number, since it uses less digits than its factorization.

35386920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98314 (or 98307 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 35386920 is about 5948.6906122272. The cubic root of 35386920 is about 328.3075887178.

The spelling of 35386920 in words is "thirty-five million, three hundred eighty-six thousand, nine hundred twenty".