36440040 has 256 divisors, whose sum is σ = 139345920. Its totient is φ = 7418880.

The previous prime is 36440039. The next prime is 36440051. The reversal of 36440040 is 4004463.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 36439989 and 36440016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 513205 + ... + 513275.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 2^36440040 is an apocalyptic number.

36440040 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 36440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

36440040 is an abundant number, since it is smaller than the sum of its proper divisors (102905880).

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

36440040 is a wasteful number, since it uses less digits than its factorization.

36440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 36440040 is about 6036.5586222615. The cubic root of 36440040 is about 331.5326321646.

It can be divided in two parts, 364 and 40040, that added together give a palindrome (40404).

The spelling of 36440040 in words is "thirty-six million, four hundred forty thousand, forty".