389971296000 has 1728 divisors, whose sum is σ = 1748657828736. Its totient is φ = 81985536000.

The previous prime is 389971295981. The next prime is 389971296031. The reversal of 389971296000 is 692179983.

389971296000 is a `hidden beast` number, since 3 + 8 + 9 + 9 + 7 + 1 + 29 + 600 + 0 = 666.

It is a super-2 number, since 2×389971296000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 700127722 + ... + 700128278.

It is an arithmetic number, because the mean of its divisors is an integer number (1011954762).

Almost surely, 2^389971296000 is an apocalyptic number.

389971296000 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 389971296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874328914368).

389971296000 is an abundant number, since it is smaller than the sum of its proper divisors (1358686532736).

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

389971296000 is a wasteful number, since it uses less digits than its factorization.

389971296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 389971296000 in words is "three hundred eighty-nine billion, nine hundred seventy-one million, two hundred ninety-six thousand".