3934881054720 has 2016 divisors, whose sum is σ = 18409294794240. Its totient is φ = 774604062720.

The previous prime is 3934881054677. The next prime is 3934881054763. The reversal of 3934881054720 is 274501884393.

It is a happy number.

3934881054720 is a `hidden beast` number, since 3 + 9 + 3 + 4 + 88 + 10 + 547 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3934881054677) and next prime (3934881054763).

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207099002871 + ... + 207099002889.

It is an arithmetic number, because the mean of its divisors is an integer number (9131594640).

Almost surely, 2^{3934881054720} is an apocalyptic number.

3934881054720 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 3934881054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9204647397120).

3934881054720 is an abundant number, since it is smaller than the sum of its proper divisors (14474413739520).

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

3934881054720 is an frugal number, since it uses more digits than its factorization.

3934881054720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3934881054720 in words is "three trillion, nine hundred thirty-four billion, eight hundred eighty-one million, fifty-four thousand, seven hundred twenty".