36353880 has 128 divisors (see below), whose sum is σ = 124286400. Its totient is φ = 9446400.

The previous prime is 36353879. The next prime is 36353881. The reversal of 36353880 is 8835363.

36353880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36353879) and next prime (36353881).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36353881) 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 31 ways as a sum of consecutive naturals, for example, 43870 + ... + 44690.

Almost surely, 2^36353880 is an apocalyptic number.

36353880 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 36353880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62143200).

36353880 is an abundant number, since it is smaller than the sum of its proper divisors (87932520).

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

36353880 is a wasteful number, since it uses less digits than its factorization.

36353880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 36353880 is about 6029.4178823498. The cubic root of 36353880 is about 331.2711304902.

The spelling of 36353880 in words is "thirty-six million, three hundred fifty-three thousand, eight hundred eighty".