3506725619712 has 192 divisors, whose sum is σ = 11871728668800. Its totient is φ = 1001921495040.

The previous prime is 3506725619707. The next prime is 3506725619713. The reversal of 3506725619712 is 2179165276053.

It is a happy number.

3506725619712 is a `hidden beast` number, since 3 + 5 + 0 + 6 + 7 + 2 + 5 + 619 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (3506725619713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4142739 + ... + 4916882.

It is an arithmetic number, because the mean of its divisors is an integer number (61831920150).

Almost surely, 2^{3506725619712} is an apocalyptic number.

3506725619712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3506725619712 is an abundant number, since it is smaller than the sum of its proper divisors (8365003049088).

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

3506725619712 is an equidigital number, since it uses as much as digits as its factorization.

3506725619712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9059659 (or 9059633 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 3506725619712 in words is "three trillion, five hundred six billion, seven hundred twenty-five million, six hundred nineteen thousand, seven hundred twelve".