3832130534400 has 2376 divisors, whose sum is σ = 17347598495136. Its totient is φ = 802632499200.

The previous prime is 3832130534377. The next prime is 3832130534411. The reversal of 3832130534400 is 44350312383.

3832130534400 is a `hidden beast` number, since 3 + 8 + 3 + 2 + 1 + 305 + 344 + 0 + 0 = 666.

3832130534400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7868850957 + ... + 7868851443.

Almost surely, 2^{3832130534400} is an apocalyptic number.

3832130534400 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 3832130534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8673799247568).

3832130534400 is an abundant number, since it is smaller than the sum of its proper divisors (13515467960736).

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

3832130534400 is a wasteful number, since it uses less digits than its factorization.

3832130534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 3832130534400 its reverse (44350312383), we get a palindrome (3876480846783).

The spelling of 3832130534400 in words is "three trillion, eight hundred thirty-two billion, one hundred thirty million, five hundred thirty-four thousand, four hundred".