3506775690240 has 528 divisors, whose sum is σ = 12622248737280. Its totient is φ = 933557944320.

The previous prime is 3506775690217. The next prime is 3506775690307. The reversal of 3506775690240 is 420965776053.

3506775690240 is a `hidden beast` number, since 3 + 5 + 0 + 6 + 77 + 569 + 0 + 2 + 4 + 0 = 666.

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

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, 859712521 + ... + 859716599.

Almost surely, 2^{3506775690240} is an apocalyptic number.

3506775690240 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 3506775690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6311124368640).

3506775690240 is an abundant number, since it is smaller than the sum of its proper divisors (9115473047040).

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

3506775690240 is an equidigital number, since it uses as much as digits as its factorization.

3506775690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4810 (or 4780 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 3506775690240 in words is "three trillion, five hundred six billion, seven hundred seventy-five million, six hundred ninety thousand, two hundred forty".