387981576 has 96 divisors (see below), whose sum is σ = 1100299200. Its totient is φ = 128070720.

The previous prime is 387981541. The next prime is 387981611. The reversal of 387981576 is 675189783.

It is an interprime number because it is at equal distance from previous prime (387981541) and next prime (387981611).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 210981 + ... + 212811.

It is an arithmetic number, because the mean of its divisors is an integer number (11461450).

Almost surely, 2^387981576 is an apocalyptic number.

387981576 is a gapful number since it is divisible by the number (36) 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 387981576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550149600).

387981576 is an abundant number, since it is smaller than the sum of its proper divisors (712317624).

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

387981576 is a wasteful number, since it uses less digits than its factorization.

387981576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1945 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 387981576 is about 19697.2479295967. The cubic root of 387981576 is about 729.3517583014.

The spelling of 387981576 in words is "three hundred eighty-seven million, nine hundred eighty-one thousand, five hundred seventy-six".