3901900947841 has 96 divisors (see below), whose sum is σ = 4577776680960. Its totient is φ = 3317344243200.

The previous prime is 3901900947829. The next prime is 3901900947859. The reversal of 3901900947841 is 1487490091093.

It is not a de Polignac number, because 3901900947841 - 2⁷ = 3901900947713 is a prime.

It is a super-2 number, since 2×3901900947841² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3901900947811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5279973850 + ... + 5279974588.

It is an arithmetic number, because the mean of its divisors is an integer number (47685173760).

Almost surely, 2^{3901900947841} is an apocalyptic number.

3901900947841 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3901900947841 is a deficient number, since it is larger than the sum of its proper divisors (675875733119).

3901900947841 is a wasteful number, since it uses less digits than its factorization.

3901900947841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 55.

The spelling of 3901900947841 in words is "three trillion, nine hundred one billion, nine hundred million, nine hundred forty-seven thousand, eight hundred forty-one".