387088647120 has 320 divisors, whose sum is σ = 1542141296640. Its totient is φ = 87411128832.

The previous prime is 387088647079. The next prime is 387088647131. The reversal of 387088647120 is 21746880783.

It is a happy number.

387088647120 is a `hidden beast` number, since 3 + 8 + 70 + 8 + 86 + 471 + 20 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1100737 + ... + 1409183.

It is an arithmetic number, because the mean of its divisors is an integer number (4819191552).

Almost surely, 2^387088647120 is an apocalyptic number.

387088647120 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 387088647120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771070648320).

387088647120 is an abundant number, since it is smaller than the sum of its proper divisors (1155052649520).

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

387088647120 is a wasteful number, since it uses less digits than its factorization.

387088647120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308559 (or 308547 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 387088647120 in words is "three hundred eighty-seven billion, eighty-eight million, six hundred forty-seven thousand, one hundred twenty".