3678240 has 96 divisors (see below), whose sum is σ = 11854080. Its totient is φ = 958464.

The previous prime is 3678223. The next prime is 3678247. The reversal of 3678240 is 428763.

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 (30).

It is a d-powerful number, because it can be written as 3¹² + 6³ + 7³ + 8³ + 2²¹ + 4¹⁰ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 3678198 and 3678207.

It is not an unprimeable number, because it can be changed into a prime (3678247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37872 + ... + 37968.

It is an arithmetic number, because the mean of its divisors is an integer number (123480).

Almost surely, 2^3678240 is an apocalyptic number.

3678240 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 3678240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927040).

3678240 is an abundant number, since it is smaller than the sum of its proper divisors (8175840).

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

3678240 is a wasteful number, since it uses less digits than its factorization.

3678240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

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

The square root of 3678240 is about 1917.8738227527. The cubic root of 3678240 is about 154.3642359468.

The spelling of 3678240 in words is "three million, six hundred seventy-eight thousand, two hundred forty".