36481600 has 63 divisors (see below), whose sum is σ = 90365961. Its totient is φ = 14496000.

The previous prime is 36481597. The next prime is 36481631. The reversal of 36481600 is 618463.

The square root of 36481600 is 6040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13133376 + 23348224 = 3624^2 + 4832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 241525 + ... + 241675.

Almost surely, 2^36481600 is an apocalyptic number.

36481600 is the 6040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36481600

36481600 is an abundant number, since it is smaller than the sum of its proper divisors (53884361).

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

36481600 is an equidigital number, since it uses as much as digits as its factorization.

36481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The cubic root of 36481600 is about 331.6586223425.

It can be divided in two parts, 36 and 481600, that added together give a square (481636 = 694²).

The spelling of 36481600 in words is "thirty-six million, four hundred eighty-one thousand, six hundred".