3578906240 has 384 divisors, whose sum is σ = 11020406400. Its totient is φ = 1086898176.

The previous prime is 3578906231. The next prime is 3578906257. The reversal of 3578906240 is 426098753.

It is a junction number, because it is equal to n+sod(n) for n = 3578906191 and 3578906200.

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 47 ways as a sum of consecutive naturals, for example, 21956399 + ... + 21956561.

It is an arithmetic number, because the mean of its divisors is an integer number (28698975).

Almost surely, 2^3578906240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3578906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5510203200).

3578906240 is an abundant number, since it is smaller than the sum of its proper divisors (7441500160).

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

3578906240 is a wasteful number, since it uses less digits than its factorization.

3578906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 3578906240 is about 59823.9604172108. The cubic root of 3578906240 is about 1529.6196015590.

The spelling of 3578906240 in words is "three billion, five hundred seventy-eight million, nine hundred six thousand, two hundred forty".