36348480 has 224 divisors, whose sum is σ = 146791680. Its totient is φ = 8294400.

The previous prime is 36348469. The next prime is 36348491. The reversal of 36348480 is 8484363.

It is an interprime number because it is at equal distance from previous prime (36348469) and next prime (36348491).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60180 + ... + 60780.

It is an arithmetic number, because the mean of its divisors is an integer number (655320).

Almost surely, 2^36348480 is an apocalyptic number.

36348480 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 36348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73395840).

36348480 is an abundant number, since it is smaller than the sum of its proper divisors (110443200).

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

36348480 is a wasteful number, since it uses less digits than its factorization.

36348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 36348480 is about 6028.9700612957. The cubic root of 36348480 is about 331.2547273563.

The spelling of 36348480 in words is "thirty-six million, three hundred forty-eight thousand, four hundred eighty".