3520823743008 has 288 divisors, whose sum is σ = 11911658653440. Its totient is φ = 972378501120.

The previous prime is 3520823742973. The next prime is 3520823743093. The reversal of 3520823743008 is 8003473280253.

3520823743008 is a `hidden beast` number, since 3 + 5 + 208 + 2 + 3 + 7 + 430 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2712460 + ... + 3794612.

It is an arithmetic number, because the mean of its divisors is an integer number (41359925880).

Almost surely, 2^{3520823743008} 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 3520823743008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5955829326720).

3520823743008 is an abundant number, since it is smaller than the sum of its proper divisors (8390834910432).

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

3520823743008 is a wasteful number, since it uses less digits than its factorization.

3520823743008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082272 (or 1082261 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 3520823743008 in words is "three trillion, five hundred twenty billion, eight hundred twenty-three million, seven hundred forty-three thousand, eight".