3678480 has 160 divisors (see below), whose sum is σ = 13749120. Its totient is φ = 898560.

The previous prime is 3678461. The next prime is 3678481. The reversal of 3678480 is 848763.

It is a super-2 number, since 2×3678480² = 27062430220800, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 3¹² + 6⁴ + 7 + 8 + 4¹⁰ + 8⁷ + 0 .

It is not an unprimeable number, because it can be changed into a prime (3678481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28015 + ... + 28145.

It is an arithmetic number, because the mean of its divisors is an integer number (85932).

Almost surely, 2^3678480 is an apocalyptic number.

3678480 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 3678480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874560).

3678480 is an abundant number, since it is smaller than the sum of its proper divisors (10070640).

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

3678480 is a wasteful number, since it uses less digits than its factorization.

3678480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3678480 is about 1917.9363910203. The cubic root of 3678480 is about 154.3675932237.

It can be divided in two parts, 36784 and 80, that added together give a square (36864 = 192²).

The spelling of 3678480 in words is "three million, six hundred seventy-eight thousand, four hundred eighty".