3575043049248 has 192 divisors, whose sum is σ = 11376341827200. Its totient is φ = 1083231636480.

The previous prime is 3575043049229. The next prime is 3575043049273. The reversal of 3575043049248 is 8429403405753.

3575043049248 is a `hidden beast` number, since 3 + 5 + 7 + 504 + 3 + 0 + 4 + 92 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3575043049194 and 3575043049203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146092758 + ... + 146117226.

It is an arithmetic number, because the mean of its divisors is an integer number (59251780350).

Almost surely, 2^{3575043049248} 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 3575043049248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688170913600).

3575043049248 is an abundant number, since it is smaller than the sum of its proper divisors (7801298777952).

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

3575043049248 is a wasteful number, since it uses less digits than its factorization.

3575043049248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39872 (or 39858 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 3575043049248 in words is "three trillion, five hundred seventy-five billion, forty-three million, forty-nine thousand, two hundred forty-eight".