3578370048 has 480 divisors, whose sum is σ = 12201068880. Its totient is φ = 1035141120.

The previous prime is 3578370023. The next prime is 3578370067. The reversal of 3578370048 is 8400738753.

3578370048 is a `hidden beast` number, since 3 + 578 + 3 + 70 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3578369985 and 3578370012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67516390 + ... + 67516442.

Almost surely, 2^3578370048 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 3578370048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6100534440).

3578370048 is an abundant number, since it is smaller than the sum of its proper divisors (8622698832).

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

3578370048 is a wasteful number, since it uses less digits than its factorization.

3578370048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 3578370048 is about 59819.4788342393. The cubic root of 3578370048 is about 1529.5432085028.

The spelling of 3578370048 in words is "three billion, five hundred seventy-eight million, three hundred seventy thousand, forty-eight".