3684787376400 has 1215 divisors, whose sum is σ = 14611273639599. Its totient is φ = 859480427520.

The previous prime is 3684787376363. The next prime is 3684787376429. The reversal of 3684787376400 is 46737874863.

It is a happy number.

The square root of 3684787376400 is 1919580.

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

3684787376400 is a `hidden beast` number, since 3 + 6 + 84 + 7 + 87 + 3 + 76 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 949759397136 + 2735027979264 = 974556^2 + 1653792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 34437265147 + ... + 34437265253.

Almost surely, 2^{3684787376400} is an apocalyptic number.

3684787376400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3684787376400 is the 1919580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3684787376400

3684787376400 is an abundant number, since it is smaller than the sum of its proper divisors (10926486263199).

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

3684787376400 is a wasteful number, since it uses less digits than its factorization.

3684787376400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 3684787376400 in words is "three trillion, six hundred eighty-four billion, seven hundred eighty-seven million, three hundred seventy-six thousand, four hundred".