387611088480 has 1152 divisors, whose sum is σ = 1750540087296. Its totient is φ = 78643353600.

The previous prime is 387611088443. The next prime is 387611088481. The reversal of 387611088480 is 84880116783.

It is a happy number.

387611088480 is a `hidden beast` number, since 3 + 8 + 76 + 1 + 10 + 88 + 480 = 666.

It is a super-3 number, since 3×387611088480³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387611088481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 128730175 + ... + 128733185.

It is an arithmetic number, because the mean of its divisors is an integer number (1519566048).

Almost surely, 2^387611088480 is an apocalyptic number.

387611088480 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 387611088480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875270043648).

387611088480 is an abundant number, since it is smaller than the sum of its proper divisors (1362928998816).

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

387611088480 is a wasteful number, since it uses less digits than its factorization.

387611088480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 387611088480 in words is "three hundred eighty-seven billion, six hundred eleven million, eighty-eight thousand, four hundred eighty".