3832276064400 has 1215 divisors, whose sum is σ = 15938715280761. Its totient is φ = 850202196480.

The previous prime is 3832276064387. The next prime is 3832276064401. The reversal of 3832276064400 is 44606722383.

The square root of 3832276064400 is 1957620.

It is a perfect power (a square), and thus also a powerful number.

3832276064400 is a `hidden beast` number, since 3 + 8 + 32 + 2 + 7 + 606 + 4 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1379619383184 + 2452656681216 = 1174572^2 + 1566096^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3832276064401) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 48509823561 + ... + 48509823639.

Almost surely, 2^{3832276064400} is an apocalyptic number.

3832276064400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3832276064400 is the 1957620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3832276064400

3832276064400 is an abundant number, since it is smaller than the sum of its proper divisors (12106439216361).

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

3832276064400 is a wasteful number, since it uses less digits than its factorization.

3832276064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 3832276064400 in words is "three trillion, eight hundred thirty-two billion, two hundred seventy-six million, sixty-four thousand, four hundred".