3624480 has 96 divisors (see below), whose sum is σ = 12700800. Its totient is φ = 965376.

The previous prime is 3624473. The next prime is 3624493. The reversal of 3624480 is 844263.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3901 + ... + 4739.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

Almost surely, 2^3624480 is an apocalyptic number.

3624480 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 3624480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350400).

3624480 is an abundant number, since it is smaller than the sum of its proper divisors (9076320).

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

3624480 is a wasteful number, since it uses less digits than its factorization.

3624480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3624480 is about 1903.8067128782. The cubic root of 3624480 is about 153.6084956238.

The spelling of 3624480 in words is "three million, six hundred twenty-four thousand, four hundred eighty".