36419040 has 144 divisors (see below), whose sum is σ = 142073568. Its totient is φ = 8322048.

The previous prime is 36419039. The next prime is 36419077. The reversal of 36419040 is 4091463.

36419040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 36418995 and 36419013.

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 23 ways as a sum of consecutive naturals, for example, 8274 + ... + 11886.

It is an arithmetic number, because the mean of its divisors is an integer number (986622).

Almost surely, 2^36419040 is an apocalyptic number.

36419040 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 36419040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71036784).

36419040 is an abundant number, since it is smaller than the sum of its proper divisors (105654528).

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

36419040 is a wasteful number, since it uses less digits than its factorization.

36419040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3641 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 36419040 is about 6034.8189699443. The cubic root of 36419040 is about 331.4689337062.

The spelling of 36419040 in words is "thirty-six million, four hundred nineteen thousand, forty".