387476862696 has 384 divisors, whose sum is σ = 1340701839360. Its totient is φ = 98170329600.

The previous prime is 387476862677. The next prime is 387476862709. The reversal of 387476862696 is 696268674783.

387476862696 is a `hidden beast` number, since 3 + 8 + 7 + 476 + 8 + 62 + 6 + 96 = 666.

It is a super-3 number, since 3×387476862696³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82597711 + ... + 82602401.

It is an arithmetic number, because the mean of its divisors is an integer number (3491411040).

Almost surely, 2^387476862696 is an apocalyptic number.

387476862696 is a gapful number since it is divisible by the number (36) 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 387476862696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670350919680).

387476862696 is an abundant number, since it is smaller than the sum of its proper divisors (953224976664).

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

387476862696 is a wasteful number, since it uses less digits than its factorization.

387476862696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085 (or 5078 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 387476862696 in words is "three hundred eighty-seven billion, four hundred seventy-six million, eight hundred sixty-two thousand, six hundred ninety-six".