36801480 has 64 divisors (see below), whose sum is σ = 116222400. Its totient is φ = 9296640.

The previous prime is 36801469. The next prime is 36801487. The reversal of 36801480 is 8410863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (36801487) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5791 + ... + 10350.

It is an arithmetic number, because the mean of its divisors is an integer number (1815975).

Almost surely, 2^36801480 is an apocalyptic number.

36801480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36801480 is an abundant number, since it is smaller than the sum of its proper divisors (79420920).

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

36801480 is a wasteful number, since it uses less digits than its factorization.

36801480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16174 (or 16170 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 36801480 is about 6066.4223394024. The cubic root of 36801480 is about 332.6251587540.

The spelling of 36801480 in words is "thirty-six million, eight hundred one thousand, four hundred eighty".