36400364 has 48 divisors (see below), whose sum is σ = 85537536. Its totient is φ = 13089600.

The previous prime is 36400361. The next prime is 36400387. The reversal of 36400364 is 46300463.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36400361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542 + ... + 8549.

It is an arithmetic number, because the mean of its divisors is an integer number (1782032).

Almost surely, 2^36400364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36400364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42768768).

36400364 is an abundant number, since it is smaller than the sum of its proper divisors (49137172).

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

36400364 is a wasteful number, since it uses less digits than its factorization.

36400364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9126 (or 9124 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 36400364 is about 6033.2714177302. The cubic root of 36400364 is about 331.4122639689.

Subtracting 36400364 from its reverse (46300463), we obtain a palindrome (9900099).

It can be divided in two parts, 36400 and 364, that multiplied together give a square (13249600 = 3640²).

The spelling of 36400364 in words is "thirty-six million, four hundred thousand, three hundred sixty-four".