3472275938967 has 48 divisors (see below), whose sum is σ = 5648731186176. Its totient is φ = 2036248848000.

The previous prime is 3472275938947. The next prime is 3472275938987. The reversal of 3472275938967 is 7698395722743.

3472275938967 is a `hidden beast` number, since 3 + 4 + 7 + 2 + 27 + 593 + 8 + 9 + 6 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (3472275938947) and next prime (3472275938987).

It is not a de Polignac number, because 3472275938967 - 2⁶ = 3472275938903 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3472275938895 and 3472275938904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3472275938947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23720992 + ... + 23866922.

It is an arithmetic number, because the mean of its divisors is an integer number (117681899712).

Almost surely, 2^{3472275938967} is an apocalyptic number.

3472275938967 is a deficient number, since it is larger than the sum of its proper divisors (2176455247209).

3472275938967 is a wasteful number, since it uses less digits than its factorization.

3472275938967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153732 (or 153729 counting only the distinct ones).

The product of its digits is 960180480, while the sum is 72.

The spelling of 3472275938967 in words is "three trillion, four hundred seventy-two billion, two hundred seventy-five million, nine hundred thirty-eight thousand, nine hundred sixty-seven".