3678224640 has 72 divisors (see below), whose sum is σ = 11747342208. Its totient is φ = 980858880.

The previous prime is 3678224629. The next prime is 3678224689. The reversal of 3678224640 is 464228763.

It is a junction number, because it is equal to n+sod(n) for n = 3678224592 and 3678224601.

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 7 ways as a sum of consecutive naturals, for example, 475096 + ... + 482775.

Almost surely, 2^3678224640 is an apocalyptic number.

3678224640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3678224640 is an abundant number, since it is smaller than the sum of its proper divisors (8069117568).

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

3678224640 is an equidigital number, since it uses as much as digits as its factorization.

3678224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957895 (or 957881 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 3678224640 is about 60648.3688156574. The cubic root of 3678224640 is about 1543.6402107610.

The spelling of 3678224640 in words is "three billion, six hundred seventy-eight million, two hundred twenty-four thousand, six hundred forty".