3576457967968 has 48 divisors (see below), whose sum is σ = 7060718322000. Its totient is φ = 1783265075200.

The previous prime is 3576457967963. The next prime is 3576457967977. The reversal of 3576457967968 is 8697697546753.

It is a happy number.

It is a super-4 number, since 4×3576457967968⁴ (a number of 51 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3576457967891 and 3576457967900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3576457967963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21300408 + ... + 21467656.

It is an arithmetic number, because the mean of its divisors is an integer number (147098298375).

Almost surely, 2^{3576457967968} is an apocalyptic number.

It is an amenable number.

3576457967968 is a deficient number, since it is larger than the sum of its proper divisors (3484260354032).

3576457967968 is a wasteful number, since it uses less digits than its factorization.

3576457967968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169111 (or 169103 counting only the distinct ones).

The product of its digits is 14402707200, while the sum is 82.

The spelling of 3576457967968 in words is "three trillion, five hundred seventy-six billion, four hundred fifty-seven million, nine hundred sixty-seven thousand, nine hundred sixty-eight".