3984302332080 has 400 divisors, whose sum is σ = 16325104840704. Its totient is φ = 881320020480.

The previous prime is 3984302332061. The next prime is 3984302332121. The reversal of 3984302332080 is 802332034893.

3984302332080 is a `hidden beast` number, since 3 + 9 + 8 + 4 + 302 + 332 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10572 + ... + 2822891.

Almost surely, 2^{3984302332080} is an apocalyptic number.

3984302332080 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 3984302332080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8162552420352).

3984302332080 is an abundant number, since it is smaller than the sum of its proper divisors (12340802508624).

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

3984302332080 is a wasteful number, since it uses less digits than its factorization.

3984302332080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833526 (or 2833511 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 3984302332080 in words is "three trillion, nine hundred eighty-four billion, three hundred two million, three hundred thirty-two thousand, eighty".