3990383080704 has 1152 divisors, whose sum is σ = 13398233587200. Its totient is φ = 1165303480320.

The previous prime is 3990383080637. The next prime is 3990383080709. The reversal of 3990383080704 is 4070803830993.

3990383080704 is a `hidden beast` number, since 39 + 90 + 383 + 0 + 80 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3990383080709) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16557606024 + ... + 16557606264.

It is an arithmetic number, because the mean of its divisors is an integer number (11630411100).

Almost surely, 2^{3990383080704} is an apocalyptic number.

3990383080704 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 3990383080704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6699116793600).

3990383080704 is an abundant number, since it is smaller than the sum of its proper divisors (9407850506496).

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

3990383080704 is a wasteful number, since it uses less digits than its factorization.

3990383080704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 3990383080704 in words is "three trillion, nine hundred ninety billion, three hundred eighty-three million, eighty thousand, seven hundred four".