3990243358080 has 3072 divisors, whose sum is σ = 18249154560000. Its totient is φ = 829595934720.

The previous prime is 3990243358069. The next prime is 3990243358097. The reversal of 3990243358080 is 808533420993.

It is a happy number.

3990243358080 is a `hidden beast` number, since 3 + 9 + 9 + 0 + 24 + 33 + 580 + 8 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 31419238977 + ... + 31419239103.

It is an arithmetic number, because the mean of its divisors is an integer number (5940480000).

Almost surely, 2^{3990243358080} is an apocalyptic number.

3990243358080 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 3990243358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9124577280000).

3990243358080 is an abundant number, since it is smaller than the sum of its proper divisors (14258911201920).

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

3990243358080 is a wasteful number, since it uses less digits than its factorization.

3990243358080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 3990243358080 in words is "three trillion, nine hundred ninety billion, two hundred forty-three million, three hundred fifty-eight thousand, eighty".