387492084 has 144 divisors (see below), whose sum is σ = 1226534400. Its totient is φ = 100574208.

The previous prime is 387492059. The next prime is 387492163. The reversal of 387492084 is 480294783.

387492084 is a `hidden beast` number, since 3 + 87 + 492 + 0 + 84 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122677 + ... + 125795.

It is an arithmetic number, because the mean of its divisors is an integer number (8517600).

Almost surely, 2^387492084 is an apocalyptic number.

387492084 is a gapful number since it is divisible by the number (34) 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 387492084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613267200).

387492084 is an abundant number, since it is smaller than the sum of its proper divisors (839042316).

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

387492084 is a wasteful number, since it uses less digits than its factorization.

387492084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 387492084 is about 19684.8186174016. The cubic root of 387492084 is about 729.0449034419.

The spelling of 387492084 in words is "three hundred eighty-seven million, four hundred ninety-two thousand, eighty-four".