3672480 has 96 divisors (see below), whose sum is σ = 13233024. Its totient is φ = 838656.

The previous prime is 3672463. The next prime is 3672499. The reversal of 3672480 is 842763.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a d-powerful number, because it can be written as 3³ + 6² + 7⁴ + 2¹⁹ + 4¹⁰ + 8⁷ + 0 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2814 + ... + 3906.

It is an arithmetic number, because the mean of its divisors is an integer number (137844).

Almost surely, 2^3672480 is an apocalyptic number.

3672480 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 3672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616512).

3672480 is an abundant number, since it is smaller than the sum of its proper divisors (9560544).

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

3672480 is a wasteful number, since it uses less digits than its factorization.

3672480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1110 counting only the distinct ones).

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

The square root of 3672480 is about 1916.3715714861. The cubic root of 3672480 is about 154.2836174514.

The spelling of 3672480 in words is "three million, six hundred seventy-two thousand, four hundred eighty".