36819440 has 80 divisors (see below), whose sum is σ = 100535232. Its totient is φ = 12275712.

The previous prime is 36819439. The next prime is 36819443. The reversal of 36819440 is 4491863.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 36819440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36819443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19832 + ... + 21608.

Almost surely, 2^36819440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36819440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50267616).

36819440 is an abundant number, since it is smaller than the sum of its proper divisors (63715792).

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

36819440 is a wasteful number, since it uses less digits than its factorization.

36819440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 36819440 is about 6067.9024382401. The cubic root of 36819440 is about 332.6792596244.

The spelling of 36819440 in words is "thirty-six million, eight hundred nineteen thousand, four hundred forty".