36421344 has 144 divisors (see below), whose sum is σ = 112864752. Its totient is φ = 11096064.

The previous prime is 36421339. The next prime is 36421393. The reversal of 36421344 is 44312463.

36421344 is a `hidden beast` number, since 3 + 642 + 13 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210442 + ... + 210614.

It is an arithmetic number, because the mean of its divisors is an integer number (783783).

Almost surely, 2^36421344 is an apocalyptic number.

36421344 is a gapful number since it is divisible by the number (34) 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 36421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56432376).

36421344 is an abundant number, since it is smaller than the sum of its proper divisors (76443408).

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

36421344 is a wasteful number, since it uses less digits than its factorization.

36421344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 36421344 is about 6035.0098591469. The cubic root of 36421344 is about 331.4759235328.

The spelling of 36421344 in words is "thirty-six million, four hundred twenty-one thousand, three hundred forty-four".