3675271058496 has 84 divisors (see below), whose sum is σ = 10536358146444. Its totient is φ = 1224874368000.

The previous prime is 3675271058491. The next prime is 3675271058507. The reversal of 3675271058496 is 6948501725763.

3675271058496 is a `hidden beast` number, since 3 + 6 + 7 + 527 + 10 + 5 + 8 + 4 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2593388160000 + 1081882898496 = 1610400^2 + 1040136^2 .

It is not an unprimeable number, because it can be changed into a prime (3675271058491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2724166 + ... + 3843386.

It is a 1-persistent number, because it is pandigital, but 2⋅3675271058496 = 7350542116992 is not.

Almost surely, 2^{3675271058496} is an apocalyptic number.

3675271058496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3675271058496 is an abundant number, since it is smaller than the sum of its proper divisors (6861087087948).

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

3675271058496 is a wasteful number, since it uses less digits than its factorization.

3675271058496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124940 (or 1124927 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 3675271058496 in words is "three trillion, six hundred seventy-five billion, two hundred seventy-one million, fifty-eight thousand, four hundred ninety-six".