3485514310560 has 576 divisors, whose sum is σ = 12756957857280. Its totient is φ = 864947650560.

The previous prime is 3485514310463. The next prime is 3485514310573. The reversal of 3485514310560 is 650134155843.

3485514310560 is a `hidden beast` number, since 3 + 4 + 8 + 5 + 51 + 4 + 31 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142097017 + ... + 142121543.

It is an arithmetic number, because the mean of its divisors is an integer number (22147496280).

Almost surely, 2^{3485514310560} is an apocalyptic number.

3485514310560 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 3485514310560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6378478928640).

3485514310560 is an abundant number, since it is smaller than the sum of its proper divisors (9271443546720).

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

3485514310560 is a wasteful number, since it uses less digits than its factorization.

3485514310560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24701 (or 24690 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 3485514310560 in words is "three trillion, four hundred eighty-five billion, five hundred fourteen million, three hundred ten thousand, five hundred sixty".