3681388992000 has 640 divisors, whose sum is σ = 12704404901760. Its totient is φ = 944662118400.

The previous prime is 3681388991983. The next prime is 3681388992019. The reversal of 3681388992000 is 2998831863.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1965503064 + ... + 1965504936.

It is an arithmetic number, because the mean of its divisors is an integer number (19850632659).

Almost surely, 2^{3681388992000} is an apocalyptic number.

3681388992000 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 3681388992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352202450880).

3681388992000 is an abundant number, since it is smaller than the sum of its proper divisors (9023015909760).

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

3681388992000 is a wasteful number, since it uses less digits than its factorization.

3681388992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 3681388992000 in words is "three trillion, six hundred eighty-one billion, three hundred eighty-eight million, nine hundred ninety-two thousand".