3832676352000 has 1260 divisors, whose sum is σ = 15082198287156. Its totient is φ = 968255078400.

The previous prime is 3832676351971. The next prime is 3832676352007. The reversal of 3832676352000 is 2536762383.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3832676352000 is a `hidden beast` number, since 3 + 8 + 3 + 2 + 6 + 7 + 635 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122645643264 + 3710030708736 = 350208^2 + 1926144^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3832676352007) 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, 201719807991 + ... + 201719808009.

Almost surely, 2^{3832676352000} is an apocalyptic number.

3832676352000 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 3832676352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7541099143578).

3832676352000 is an abundant number, since it is smaller than the sum of its proper divisors (11249521935156).

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

3832676352000 is an frugal number, since it uses more digits than its factorization.

3832676352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

Multiplying 3832676352000 by its sum of digits (45), we get a square (172470435840000 = 13132800²).

3832676352000 divided by its sum of digits (45) gives a square (85170585600 = 291840²).

The spelling of 3832676352000 in words is "three trillion, eight hundred thirty-two billion, six hundred seventy-six million, three hundred fifty-two thousand".