3678365876640 has 864 divisors, whose sum is σ = 14935268690496. Its totient is φ = 758010839040.

The previous prime is 3678365876639. The next prime is 3678365876681. The reversal of 3678365876640 is 466785638763.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 170909080 + ... + 170930600.

It is an arithmetic number, because the mean of its divisors is an integer number (17286190614).

Almost surely, 2^{3678365876640} is an apocalyptic number.

3678365876640 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 3678365876640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7467634345248).

3678365876640 is an abundant number, since it is smaller than the sum of its proper divisors (11256902813856).

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

3678365876640 is a wasteful number, since it uses less digits than its factorization.

3678365876640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21622 (or 21594 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 69.

The spelling of 3678365876640 in words is "three trillion, six hundred seventy-eight billion, three hundred sixty-five million, eight hundred seventy-six thousand, six hundred forty".