3934084541760 has 392 divisors, whose sum is σ = 14498744541696. Its totient is φ = 1015245757440.

The previous prime is 3934084541719. The next prime is 3934084541809. The reversal of 3934084541760 is 671454804393.

3934084541760 is a `hidden beast` number, since 3 + 9 + 34 + 0 + 8 + 4 + 541 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3934084541697 and 3934084541706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6959677 + ... + 7503683.

Almost surely, 2^{3934084541760} is an apocalyptic number.

3934084541760 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 3934084541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7249372270848).

3934084541760 is an abundant number, since it is smaller than the sum of its proper divisors (10564659999936).

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

3934084541760 is an equidigital number, since it uses as much as digits as its factorization.

3934084541760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544073 (or 544048 counting only the distinct ones).

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

The spelling of 3934084541760 in words is "three trillion, nine hundred thirty-four billion, eighty-four million, five hundred forty-one thousand, seven hundred sixty".