383677969752 has 768 divisors, whose sum is σ = 1380986880000. Its totient is φ = 98578529280.

The previous prime is 383677969733. The next prime is 383677969861. The reversal of 383677969752 is 257969776383.

383677969752 is a `hidden beast` number, since 383 + 6 + 77 + 96 + 97 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1138510128 + ... + 1138510464.

It is an arithmetic number, because the mean of its divisors is an integer number (1798160000).

Almost surely, 2^383677969752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383677969752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690493440000).

383677969752 is an abundant number, since it is smaller than the sum of its proper divisors (997308910248).

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

383677969752 is a wasteful number, since it uses less digits than its factorization.

383677969752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 487 counting only the distinct ones).

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

The spelling of 383677969752 in words is "three hundred eighty-three billion, six hundred seventy-seven million, nine hundred sixty-nine thousand, seven hundred fifty-two".