36150400 has 192 divisors, whose sum is σ = 106243200. Its totient is φ = 11980800.

The previous prime is 36150383. The next prime is 36150427. The reversal of 36150400 is 405163.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457561 + ... + 457639.

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

Almost surely, 2^36150400 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 36150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53121600).

36150400 is an abundant number, since it is smaller than the sum of its proper divisors (70092800).

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

36150400 is a wasteful number, since it uses less digits than its factorization.

36150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 36150400 is about 6012.5202702361. The cubic root of 36150400 is about 330.6519099670.

Adding to 36150400 its reverse (405163), we get a palindrome (36555563).

The spelling of 36150400 in words is "thirty-six million, one hundred fifty thousand, four hundred".