3506768603072 has 56 divisors (see below), whose sum is σ = 7954912874496. Its totient is φ = 1502511038208.

The previous prime is 3506768603069. The next prime is 3506768603087. The reversal of 3506768603072 is 2703068676053.

3506768603072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 717473 + ... + 2743775.

It is an arithmetic number, because the mean of its divisors is an integer number (142052015616).

Almost surely, 2^{3506768603072} is an apocalyptic number.

3506768603072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3506768603072 is an abundant number, since it is smaller than the sum of its proper divisors (4448144271424).

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

3506768603072 is a wasteful number, since it uses less digits than its factorization.

3506768603072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030185 (or 2030175 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 53.

The spelling of 3506768603072 in words is "three trillion, five hundred six billion, seven hundred sixty-eight million, six hundred three thousand, seventy-two".