36480600 has 144 divisors (see below), whose sum is σ = 132022800. Its totient is φ = 8974080.

The previous prime is 36480533. The next prime is 36480617. The reversal of 36480600 is 608463.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22621 + ... + 24179.

It is an arithmetic number, because the mean of its divisors is an integer number (916825).

Almost surely, 2^36480600 is an apocalyptic number.

36480600 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 36480600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66011400).

36480600 is an abundant number, since it is smaller than the sum of its proper divisors (95542200).

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

36480600 is a wasteful number, since it uses less digits than its factorization.

36480600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36480600 is about 6039.9172179758. The cubic root of 36480600 is about 331.6555919413.

The spelling of 36480600 in words is "thirty-six million, four hundred eighty thousand, six hundred".