3681141076800 has 2688 divisors, whose sum is σ = 16898989824000. Its totient is φ = 767331532800.

The previous prime is 3681141076793. The next prime is 3681141076831. The reversal of 3681141076800 is 86701411863.

3681141076800 is a `hidden beast` number, since 368 + 1 + 141 + 0 + 76 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4451197987 + ... + 4451198813.

Almost surely, 2^{3681141076800} is an apocalyptic number.

3681141076800 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 3681141076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8449494912000).

3681141076800 is an abundant number, since it is smaller than the sum of its proper divisors (13217848747200).

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

3681141076800 is a wasteful number, since it uses less digits than its factorization.

3681141076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 3681141076800 in words is "three trillion, six hundred eighty-one billion, one hundred forty-one million, seventy-six thousand, eight hundred".