3673889661600 has 324 divisors, whose sum is σ = 13417205857146. Its totient is φ = 945919457280.

The previous prime is 3673889661577. The next prime is 3673889661613. The reversal of 3673889661600 is 61669883763.

3673889661600 is a `hidden beast` number, since 3 + 6 + 7 + 3 + 8 + 8 + 9 + 6 + 616 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 452826709776 + 3221062951824 = 672924^2 + 1794732^2 .

It is a super-2 number, since 2×3673889661600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5751834 + ... + 6358566.

Almost surely, 2^{3673889661600} is an apocalyptic number.

3673889661600 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 3673889661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6708602928573).

3673889661600 is an abundant number, since it is smaller than the sum of its proper divisors (9743316195546).

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

3673889661600 is a wasteful number, since it uses less digits than its factorization.

3673889661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606817 (or 606772 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 3673889661600 in words is "three trillion, six hundred seventy-three billion, eight hundred eighty-nine million, six hundred sixty-one thousand, six hundred".