36441468 has 192 divisors, whose sum is σ = 118272000. Its totient is φ = 9471168.

The previous prime is 36441451. The next prime is 36441469. The reversal of 36441468 is 86414463.

36441468 is a `hidden beast` number, since 3 + 644 + 1 + 4 + 6 + 8 = 666.

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 (36441469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 617623 + ... + 617681.

It is an arithmetic number, because the mean of its divisors is an integer number (616000).

Almost surely, 2^36441468 is an apocalyptic number.

36441468 is a gapful number since it is divisible by the number (38) 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 36441468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59136000).

36441468 is an abundant number, since it is smaller than the sum of its proper divisors (81830532).

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

36441468 is a wasteful number, since it uses less digits than its factorization.

36441468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 36441468 is about 6036.6769004147. The cubic root of 36441468 is about 331.5369627710.

The spelling of 36441468 in words is "thirty-six million, four hundred forty-one thousand, four hundred sixty-eight".