3301557570240 has 224 divisors, whose sum is σ = 10516175364864. Its totient is φ = 877585674240.

The previous prime is 3301557570071. The next prime is 3301557570247. The reversal of 3301557570240 is 420757551033.

It is a junction number, because it is equal to n+sod(n) for n = 3301557570192 and 3301557570201.

It is not an unprimeable number, because it can be changed into a prime (3301557570247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 894486795 + ... + 894490485.

Almost surely, 2^{3301557570240} is an apocalyptic number.

3301557570240 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 3301557570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258087682432).

3301557570240 is an abundant number, since it is smaller than the sum of its proper divisors (7214617794624).

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

3301557570240 is a wasteful number, since it uses less digits than its factorization.

3301557570240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6455 (or 6445 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 42.

The spelling of 3301557570240 in words is "three trillion, three hundred one billion, five hundred fifty-seven million, five hundred seventy thousand, two hundred forty".