3678212079360 has 5184 divisors, whose sum is σ = 18564925317120. Its totient is φ = 662171811840.

The previous prime is 3678212079359. The next prime is 3678212079407. The reversal of 3678212079360 is 639702128763.

3678212079360 is a `hidden beast` number, since 3 + 6 + 78 + 2 + 1 + 207 + 9 + 360 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3678212079297 and 3678212079306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 99411137262 + ... + 99411137298.

Almost surely, 2^{3678212079360} is an apocalyptic number.

3678212079360 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 3678212079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9282462658560).

3678212079360 is an abundant number, since it is smaller than the sum of its proper divisors (14886713237760).

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

3678212079360 is a wasteful number, since it uses less digits than its factorization.

3678212079360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 3678212079360 in words is "three trillion, six hundred seventy-eight billion, two hundred twelve million, seventy-nine thousand, three hundred sixty".