3813662179600 has 1215 divisors, whose sum is σ = 12284615997927. Its totient is φ = 1133846138880.

The previous prime is 3813662179597. The next prime is 3813662179601. The reversal of 3813662179600 is 69712663183.

It is a happy number.

The square root of 3813662179600 is 1952860.

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

It can be written as a sum of positive squares in 40 ways, for example, as 3802952413456 + 10709766144 = 1950116^2 + 103488^2 .

It is a super-2 number, since 2×3813662179600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (3813662179601) 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, 103071950782 + ... + 103071950818.

Almost surely, 2^{3813662179600} is an apocalyptic number.

3813662179600 is the 1952860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3813662179600

3813662179600 is an abundant number, since it is smaller than the sum of its proper divisors (8470953818327).

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

3813662179600 is a wasteful number, since it uses less digits than its factorization.

3813662179600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 3813662179600 in words is "three trillion, eight hundred thirteen billion, six hundred sixty-two million, one hundred seventy-nine thousand, six hundred".