3984926031744 has 384 divisors, whose sum is σ = 13458012779520. Its totient is φ = 1037007175680.

The previous prime is 3984926031739. The next prime is 3984926031767. The reversal of 3984926031744 is 4471306294893.

It is a tau number, because it is divible by the number of its divisors (384).

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, 9715099 + ... + 10116965.

It is an arithmetic number, because the mean of its divisors is an integer number (35046908280).

Almost surely, 2^{3984926031744} is an apocalyptic number.

3984926031744 is a gapful number since it is divisible by the number (34) 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 3984926031744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729006389760).

3984926031744 is an abundant number, since it is smaller than the sum of its proper divisors (9473086747776).

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

3984926031744 is a wasteful number, since it uses less digits than its factorization.

3984926031744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401946 (or 401927 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 3984926031744 in words is "three trillion, nine hundred eighty-four billion, nine hundred twenty-six million, thirty-one thousand, seven hundred forty-four".