3627480 has 128 divisors (see below), whose sum is σ = 12038400. Its totient is φ = 870912.

The previous prime is 3627469. The next prime is 3627493. The reversal of 3627480 is 847263.

It is a super-2 number, since 2×3627480² = 26317222300800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 84339 + ... + 84381.

It is an arithmetic number, because the mean of its divisors is an integer number (94050).

Almost surely, 2^3627480 is an apocalyptic number.

3627480 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 3627480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6019200).

3627480 is an abundant number, since it is smaller than the sum of its proper divisors (8410920).

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

3627480 is a wasteful number, since it uses less digits than its factorization.

3627480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3627480 is about 1904.5944450197. The cubic root of 3627480 is about 153.6508647732.

The spelling of 3627480 in words is "three million, six hundred twenty-seven thousand, four hundred eighty".