36506400 has 288 divisors, whose sum is σ = 141740928. Its totient is φ = 7987200.

The previous prime is 36506387. The next prime is 36506401. The reversal of 36506400 is 460563.

36506400 = T₂₄₅ + T₂₄₆ + ... + T₆₁₅.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (36506401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688774 + ... + 688826.

It is an arithmetic number, because the mean of its divisors is an integer number (492156).

Almost surely, 2^36506400 is an apocalyptic number.

36506400 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 36506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70870464).

36506400 is an abundant number, since it is smaller than the sum of its proper divisors (105234528).

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

36506400 is a wasteful number, since it uses less digits than its factorization.

36506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 36506400 is about 6042.0526313497. The cubic root of 36506400 is about 331.7337585823.

Subtracting from 36506400 its product of nonzero digits (2160), we obtain a triangular number (36504240 = T₈₅₄₄).

Adding to 36506400 its reverse (460563), we get a palindrome (36966963).

The spelling of 36506400 in words is "thirty-six million, five hundred six thousand, four hundred".