35396820 has 72 divisors (see below), whose sum is σ = 111089160. Its totient is φ = 9112320.

The previous prime is 35396807. The next prime is 35396831. The reversal of 35396820 is 2869353.

It can be written as a sum of positive squares in 4 ways, for example, as 3111696 + 32285124 = 1764^2 + 5682^2 .

It is a super-2 number, since 2×35396820² = 2505869732224800, which contains 22 as substring.

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

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, 1830 + ... + 8610.

It is an arithmetic number, because the mean of its divisors is an integer number (1542905).

Almost surely, 2^35396820 is an apocalyptic number.

35396820 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 35396820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55544580).

35396820 is an abundant number, since it is smaller than the sum of its proper divisors (75692340).

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

35396820 is a wasteful number, since it uses less digits than its factorization.

35396820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6825 (or 6820 counting only the distinct ones).

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

The square root of 35396820 is about 5949.5226699291. The cubic root of 35396820 is about 328.3382021203.

The spelling of 35396820 in words is "thirty-five million, three hundred ninety-six thousand, eight hundred twenty".