3506500730880 has 1224 divisors, whose sum is σ = 14487816593952. Its totient is φ = 798046027776.

The previous prime is 3506500730749. The next prime is 3506500730881. The reversal of 3506500730880 is 880370056053.

3506500730880 is a `hidden beast` number, since 35 + 0 + 6 + 500 + 7 + 30 + 8 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3506500730881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15049359244 + ... + 15049359476.

Almost surely, 2^{3506500730880} is an apocalyptic number.

3506500730880 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 3506500730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7243908296976).

3506500730880 is an abundant number, since it is smaller than the sum of its proper divisors (10981315863072).

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

3506500730880 is an frugal number, since it uses more digits than its factorization.

3506500730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 3506500730880 in words is "three trillion, five hundred six billion, five hundred million, seven hundred thirty thousand, eight hundred eighty".