387412704 has 144 divisors (see below), whose sum is σ = 1299916800. Its totient is φ = 107101440.

The previous prime is 387412691. The next prime is 387412747. The reversal of 387412704 is 407214783.

It is a happy number.

387412704 is a `hidden beast` number, since 387 + 4 + 1 + 270 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 59397 + ... + 65595.

It is an arithmetic number, because the mean of its divisors is an integer number (9027200).

Almost surely, 2^387412704 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 387412704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649958400).

387412704 is an abundant number, since it is smaller than the sum of its proper divisors (912504096).

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

387412704 is a wasteful number, since it uses less digits than its factorization.

387412704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6253 (or 6242 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 387412704 is about 19682.8022395186. The cubic root of 387412704 is about 728.9951170170.

The spelling of 387412704 in words is "three hundred eighty-seven million, four hundred twelve thousand, seven hundred four".