3578094240 has 192 divisors, whose sum is σ = 13325679360. Its totient is φ = 789626880.

The previous prime is 3578094209. The next prime is 3578094241. The reversal of 3578094240 is 424908753.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3578094192 and 3578094201.

It is not an unprimeable number, because it can be changed into a prime (3578094241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 79080 + ... + 115800.

It is an arithmetic number, because the mean of its divisors is an integer number (69404580).

Almost surely, 2^3578094240 is an apocalyptic number.

3578094240 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 3578094240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662839680).

3578094240 is an abundant number, since it is smaller than the sum of its proper divisors (9747585120).

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

3578094240 is a wasteful number, since it uses less digits than its factorization.

3578094240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36775 (or 36767 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 3578094240 is about 59817.1734537833. The cubic root of 3578094240 is about 1529.5039102482.

The spelling of 3578094240 in words is "three billion, five hundred seventy-eight million, ninety-four thousand, two hundred forty".