3934085541120 has 432 divisors, whose sum is σ = 16232386689792. Its totient is φ = 860122644480.

The previous prime is 3934085541049. The next prime is 3934085541131. The reversal of 3934085541120 is 211455804393.

3934085541120 is a `hidden beast` number, since 3 + 9 + 3 + 4 + 0 + 85 + 541 + 1 + 20 = 666.

3934085541120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 794160 + ... + 2915280.

Almost surely, 2^{3934085541120} is an apocalyptic number.

3934085541120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3934085541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8116193344896).

3934085541120 is an abundant number, since it is smaller than the sum of its proper divisors (12298301148672).

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

3934085541120 is a wasteful number, since it uses less digits than its factorization.

3934085541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121178 (or 2121161 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 3934085541120 in words is "three trillion, nine hundred thirty-four billion, eighty-five million, five hundred forty-one thousand, one hundred twenty".