36407800 has 192 divisors, whose sum is σ = 106243200. Its totient is φ = 11404800.

The previous prime is 36407797. The next prime is 36407807. The reversal of 36407800 is 870463.

36407800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36407807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543367 + ... + 543433.

It is an arithmetic number, because the mean of its divisors is an integer number (553350).

Almost surely, 2^36407800 is an apocalyptic number.

36407800 is the 3484-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36407800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53121600).

36407800 is an abundant number, since it is smaller than the sum of its proper divisors (69835400).

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

36407800 is a wasteful number, since it uses less digits than its factorization.

36407800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 36407800 is about 6033.8876356790. The cubic root of 36407800 is about 331.4348298037.

The spelling of 36407800 in words is "thirty-six million, four hundred seven thousand, eight hundred".