36491400 has 288 divisors, whose sum is σ = 142178400. Its totient is φ = 8294400.

The previous prime is 36491393. The next prime is 36491431. The reversal of 36491400 is 419463.

36491400 = 365² + 366² + ... + 540².

36491400 is a `hidden beast` number, since 3 + 649 + 14 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 376152 + ... + 376248.

It is an arithmetic number, because the mean of its divisors is an integer number (493675).

Almost surely, 2^36491400 is an apocalyptic number.

36491400 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 36491400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71089200).

36491400 is an abundant number, since it is smaller than the sum of its proper divisors (105687000).

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

36491400 is a wasteful number, since it uses less digits than its factorization.

36491400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 36491400 is about 6040.8112038037. The cubic root of 36491400 is about 331.6883173440.

The spelling of 36491400 in words is "thirty-six million, four hundred ninety-one thousand, four hundred".