387314460000 has 1200 divisors, whose sum is σ = 1566310982544. Its totient is φ = 93270528000.

The previous prime is 387314459999. The next prime is 387314460037. The reversal of 387314460000 is 64413783.

387314460000 is a `hidden beast` number, since 3 + 8 + 7 + 3 + 1 + 44 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 199 ways as a sum of consecutive naturals, for example, 1116179827 + ... + 1116180173.

Almost surely, 2^387314460000 is an apocalyptic number.

387314460000 is a gapful number since it is divisible by the number (30) 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 387314460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783155491272).

387314460000 is an abundant number, since it is smaller than the sum of its proper divisors (1178996522544).

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

387314460000 is a wasteful number, since it uses less digits than its factorization.

387314460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 387314460000 its reverse (64413783), we get a palindrome (387378873783).

The spelling of 387314460000 in words is "three hundred eighty-seven billion, three hundred fourteen million, four hundred sixty thousand".