389424672 has 360 divisors, whose sum is σ = 1428489216. Its totient is φ = 101896704.

The previous prime is 389424653. The next prime is 389424689. The reversal of 389424672 is 276424983.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3066273 + ... + 3066399.

Almost surely, 2^389424672 is an apocalyptic number.

389424672 is a gapful number since it is divisible by the number (32) 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 389424672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714244608).

389424672 is an abundant number, since it is smaller than the sum of its proper divisors (1039064544).

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

389424672 is a wasteful number, since it uses less digits than its factorization.

389424672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 152 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 389424672 is about 19733.8458492003. The cubic root of 389424672 is about 730.2549131642.

The spelling of 389424672 in words is "three hundred eighty-nine million, four hundred twenty-four thousand, six hundred seventy-two".