387889632 has 144 divisors (see below), whose sum is σ = 1195307568. Its totient is φ = 118609920.

The previous prime is 387889573. The next prime is 387889681. The reversal of 387889632 is 236988783.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×387889632² = 300916733226190848, which 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 23 ways as a sum of consecutive naturals, for example, 1171707 + ... + 1172037.

It is an arithmetic number, because the mean of its divisors is an integer number (8300747).

Almost surely, 2^387889632 is an apocalyptic number.

387889632 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 387889632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597653784).

387889632 is an abundant number, since it is smaller than the sum of its proper divisors (807417936).

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

387889632 is a wasteful number, since it uses less digits than its factorization.

387889632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 662 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 387889632 is about 19694.9138611978. The cubic root of 387889632 is about 729.2941397441.

It can be divided in two parts, 387889 and 632, that added together give a triangular number (388521 = T₈₈₁).

The spelling of 387889632 in words is "three hundred eighty-seven million, eight hundred eighty-nine thousand, six hundred thirty-two".