3505664373120 has 3840 divisors, whose sum is σ = 17071905876480. Its totient is φ = 655483207680.

The previous prime is 3505664373109. The next prime is 3505664373173. The reversal of 3505664373120 is 213734665053.

It is a happy number.

3505664373120 is a `hidden beast` number, since 3 + 5 + 0 + 566 + 4 + 3 + 73 + 12 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 94747685742 + ... + 94747685778.

It is an arithmetic number, because the mean of its divisors is an integer number (4445808822).

Almost surely, 2^{3505664373120} is an apocalyptic number.

3505664373120 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 3505664373120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8535952938240).

3505664373120 is an abundant number, since it is smaller than the sum of its proper divisors (13566241503360).

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

3505664373120 is a wasteful number, since it uses less digits than its factorization.

3505664373120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 3505664373120 in words is "three trillion, five hundred five billion, six hundred sixty-four million, three hundred seventy-three thousand, one hundred twenty".