385742672 has 80 divisors (see below), whose sum is σ = 887276544. Its totient is φ = 158976000.

The previous prime is 385742671. The next prime is 385742681. The reversal of 385742672 is 276247583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385742671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836522 + ... + 836982.

Almost surely, 2^385742672 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 385742672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443638272).

385742672 is an abundant number, since it is smaller than the sum of its proper divisors (501533872).

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

385742672 is a wasteful number, since it uses less digits than its factorization.

385742672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 742 counting only the distinct ones).

The product of its digits is 564480, while the sum is 44.

The square root of 385742672 is about 19640.3327874046. The cubic root of 385742672 is about 727.9461075913.

The spelling of 385742672 in words is "three hundred eighty-five million, seven hundred forty-two thousand, six hundred seventy-two".