3505784094720 has 608 divisors, whose sum is σ = 12629193027840. Its totient is φ = 934111346688.

The previous prime is 3505784094671. The next prime is 3505784094733. The reversal of 3505784094720 is 274904875053.

It is a happy number.

3505784094720 is a `hidden beast` number, since 3 + 5 + 0 + 578 + 4 + 0 + 9 + 47 + 20 = 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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2866544029 + ... + 2866545251.

Almost surely, 2^{3505784094720} is an apocalyptic number.

3505784094720 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 3505784094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6314596513920).

3505784094720 is an abundant number, since it is smaller than the sum of its proper divisors (9123408933120).

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

3505784094720 is an frugal number, since it uses more digits than its factorization.

3505784094720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 3505784094720 in words is "three trillion, five hundred five billion, seven hundred eighty-four million, ninety-four thousand, seven hundred twenty".