36436440 has 128 divisors (see below), whose sum is σ = 118272960. Its totient is φ = 8945664.

The previous prime is 36436429. The next prime is 36436447. The reversal of 36436440 is 4463463.

36436440 = 410² + 411² + ... + 562².

It is a super-2 number, since 2×36436440² = 2655228319747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 36436398 and 36436407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36436447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107952 + ... + 108288.

Almost surely, 2^36436440 is an apocalyptic number.

36436440 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 36436440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59136480).

36436440 is an abundant number, since it is smaller than the sum of its proper divisors (81836520).

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

36436440 is a wasteful number, since it uses less digits than its factorization.

36436440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 36436440 is about 6036.2604317574. The cubic root of 36436440 is about 331.5217141672.

The spelling of 36436440 in words is "thirty-six million, four hundred thirty-six thousand, four hundred forty".