369536400 has 180 divisors, whose sum is σ = 1338450048. Its totient is φ = 94237440.

The previous prime is 369536393. The next prime is 369536407. The reversal of 369536400 is 4635963.

369536400 is a `hidden beast` number, since 3 + 6 + 9 + 5 + 3 + 640 + 0 = 666.

369536400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (369536393) and next prime (369536407).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (369536407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80569 + ... + 85031.

Almost surely, 2^369536400 is an apocalyptic number.

369536400 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 369536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669225024).

369536400 is an abundant number, since it is smaller than the sum of its proper divisors (968913648).

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

369536400 is a wasteful number, since it uses less digits than its factorization.

369536400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510 (or 4496 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 369536400 is about 19223.3295763247. The cubic root of 369536400 is about 717.6054711872.

The spelling of 369536400 in words is "three hundred sixty-nine million, five hundred thirty-six thousand, four hundred".