3948726273993 has 32 divisors (see below), whose sum is σ = 6060474014720. Its totient is φ = 2538368202240.

The previous prime is 3948726273971. The next prime is 3948726274019. The reversal of 3948726273993 is 3993726278493.

3948726273993 is a `hidden beast` number, since 3 + 9 + 487 + 2 + 6 + 27 + 39 + 93 = 666.

It is not a de Polignac number, because 3948726273993 - 2²² = 3948722079689 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3948726273893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8283880 + ... + 8747577.

It is an arithmetic number, because the mean of its divisors is an integer number (189389812960).

Almost surely, 2^{3948726273993} is an apocalyptic number.

It is an amenable number.

3948726273993 is a deficient number, since it is larger than the sum of its proper divisors (2111747740727).

3948726273993 is a wasteful number, since it uses less digits than its factorization.

3948726273993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17031774 (or 17031768 counting only the distinct ones).

The product of its digits is 740710656, while the sum is 72.

The spelling of 3948726273993 in words is "three trillion, nine hundred forty-eight billion, seven hundred twenty-six million, two hundred seventy-three thousand, nine hundred ninety-three".