390882981888 has 864 divisors, whose sum is σ = 1416892538880. Its totient is φ = 103208878080.

The previous prime is 390882981887. The next prime is 390882981893. The reversal of 390882981888 is 888189288093.

390882981888 is a `hidden beast` number, since 390 + 8 + 82 + 9 + 81 + 8 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390882981887) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 643958481 + ... + 643959087.

It is an arithmetic number, because the mean of its divisors is an integer number (1639921920).

Almost surely, 2^390882981888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390882981888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708446269440).

390882981888 is an abundant number, since it is smaller than the sum of its proper divisors (1026009556992).

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

390882981888 is a wasteful number, since it uses less digits than its factorization.

390882981888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 72.

The spelling of 390882981888 in words is "three hundred ninety billion, eight hundred eighty-two million, nine hundred eighty-one thousand, eight hundred eighty-eight".