3934540671840 has 144 divisors (see below), whose sum is σ = 13588386961968. Its totient is φ = 1036569719808.

The previous prime is 3934540671833. The next prime is 3934540671863. The reversal of 3934540671840 is 481760454393.

3934540671840 is a `hidden beast` number, since 3 + 9 + 3 + 454 + 0 + 6 + 7 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3934540671840² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16340239 + ... + 16579278.

It is an arithmetic number, because the mean of its divisors is an integer number (94363798347).

Almost surely, 2^{3934540671840} is an apocalyptic number.

3934540671840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3934540671840 is an abundant number, since it is smaller than the sum of its proper divisors (9653846290128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3934540671840 is a wasteful number, since it uses less digits than its factorization.

3934540671840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32919621 (or 32919610 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3934540671840 in words is "three trillion, nine hundred thirty-four billion, five hundred forty million, six hundred seventy-one thousand, eight hundred forty".