3957066772901 has 48 divisors (see below), whose sum is σ = 4474273003200. Its totient is φ = 3495880270080.

The previous prime is 3957066772891. The next prime is 3957066772957. The reversal of 3957066772901 is 1092776607593.

It is not a de Polignac number, because 3957066772901 - 2⁶ = 3957066772837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3957086772901) 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, 205883870 + ... + 205903088.

It is an arithmetic number, because the mean of its divisors is an integer number (93214020900).

Almost surely, 2^{3957066772901} is an apocalyptic number.

It is an amenable number.

3957066772901 is a deficient number, since it is larger than the sum of its proper divisors (517206230299).

3957066772901 is a wasteful number, since it uses less digits than its factorization.

3957066772901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19650 (or 19639 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 62.

The spelling of 3957066772901 in words is "three trillion, nine hundred fifty-seven billion, sixty-six million, seven hundred seventy-two thousand, nine hundred one".