3519804072960 has 1056 divisors, whose sum is σ = 14476622434560. Its totient is φ = 773681577984.

The previous prime is 3519804072943. The next prime is 3519804072991. The reversal of 3519804072960 is 692704089153.

3519804072960 is a `hidden beast` number, since 3 + 519 + 8 + 0 + 40 + 7 + 29 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3519804072897 and 3519804072906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2965293487 + ... + 2965294673.

It is an arithmetic number, because the mean of its divisors is an integer number (13708922760).

It is a 2-persistent number, because it is pandigital, and so is 2⋅3519804072960 = 7039608145920, but 3⋅3519804072960 = 10559412218880 is not.

Almost surely, 2^{3519804072960} is an apocalyptic number.

3519804072960 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 3519804072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238311217280).

3519804072960 is an abundant number, since it is smaller than the sum of its proper divisors (10956818361600).

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

3519804072960 is a wasteful number, since it uses less digits than its factorization.

3519804072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 3519804072960 in words is "three trillion, five hundred nineteen billion, eight hundred four million, seventy-two thousand, nine hundred sixty".