36642400 has 72 divisors (see below), whose sum is σ = 90322344. Its totient is φ = 14515200.

The previous prime is 36642383. The next prime is 36642409. The reversal of 36642400 is 424663.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36642409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130260 + ... + 130540.

It is an arithmetic number, because the mean of its divisors is an integer number (1254477).

Almost surely, 2^36642400 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 36642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45161172).

36642400 is an abundant number, since it is smaller than the sum of its proper divisors (53679944).

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

36642400 is a wasteful number, since it uses less digits than its factorization.

36642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 36642400 is about 6053.2966225025. The cubic root of 36642400 is about 332.1451922161.

The spelling of 36642400 in words is "thirty-six million, six hundred forty-two thousand, four hundred".