3648480 has 96 divisors (see below), whose sum is σ = 12555648. Its totient is φ = 883200.

The previous prime is 3648479. The next prime is 3648487. The reversal of 3648480 is 848463.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3648480² = 26622812620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3648487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4935 + ... + 5625.

It is an arithmetic number, because the mean of its divisors is an integer number (130788).

Almost surely, 2^3648480 is an apocalyptic number.

3648480 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 3648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6277824).

3648480 is an abundant number, since it is smaller than the sum of its proper divisors (8907168).

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

3648480 is a wasteful number, since it uses less digits than its factorization.

3648480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3648480 is about 1910.0994738495. The cubic root of 3648480 is about 153.9467967113.

It can be divided in two parts, 36 and 48480, that added together give a triangular number (48516 = T₃₁₁).

The spelling of 3648480 in words is "three million, six hundred forty-eight thousand, four hundred eighty".