3678432 has 24 divisors (see below), whose sum is σ = 9656136. Its totient is φ = 1226112.

The previous prime is 3678431. The next prime is 3678461. The reversal of 3678432 is 2348763.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 3678393 and 3678402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3678431) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 19063 + ... + 19254.

It is an arithmetic number, because the mean of its divisors is an integer number (402339).

Almost surely, 2^3678432 is an apocalyptic number.

3678432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3678432 is an abundant number, since it is smaller than the sum of its proper divisors (5977704).

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

3678432 is a wasteful number, since it uses less digits than its factorization.

3678432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38330 (or 38322 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 3678432 is about 1917.9238775301. The cubic root of 3678432 is about 154.3669217800.

The spelling of 3678432 in words is "three million, six hundred seventy-eight thousand, four hundred thirty-two".