387695797632 has 1280 divisors, whose sum is σ = 1433172787200. Its totient is φ = 102419251200.

The previous prime is 387695797607. The next prime is 387695797633. The reversal of 387695797632 is 236797596783.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387695797633) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3052722753 + ... + 3052722879.

It is an arithmetic number, because the mean of its divisors is an integer number (1119666240).

Almost surely, 2^387695797632 is an apocalyptic number.

387695797632 is a gapful number since it is divisible by the number (32) 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 387695797632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716586393600).

387695797632 is an abundant number, since it is smaller than the sum of its proper divisors (1045476989568).

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

387695797632 is a wasteful number, since it uses less digits than its factorization.

387695797632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 256 counting only the distinct ones).

The product of its digits is 720135360, while the sum is 72.

The spelling of 387695797632 in words is "three hundred eighty-seven billion, six hundred ninety-five million, seven hundred ninety-seven thousand, six hundred thirty-two".