3828687530976 has 360 divisors, whose sum is σ = 14289214035096. Its totient is φ = 994463930880.

The previous prime is 3828687530971. The next prime is 3828687531029. The reversal of 3828687530976 is 6790357868283.

It is a happy number.

3828687530976 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 6 + 87 + 530 + 9 + 7 + 6 = 666.

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 (3828687530971) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26850 + ... + 2767326.

Almost surely, 2^{3828687530976} is an apocalyptic number.

3828687530976 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 3828687530976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7144607017548).

3828687530976 is an abundant number, since it is smaller than the sum of its proper divisors (10460526504120).

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

3828687530976 is a wasteful number, since it uses less digits than its factorization.

3828687530976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740524 (or 2740500 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 3828687530976 in words is "three trillion, eight hundred twenty-eight billion, six hundred eighty-seven million, five hundred thirty thousand, nine hundred seventy-six".