3678276198240 has 288 divisors, whose sum is σ = 14394248721216. Its totient is φ = 837878722560.

The previous prime is 3678276198239. The next prime is 3678276198253. The reversal of 3678276198240 is 428916728763.

3678276198240 is a `hidden beast` number, since 3 + 6 + 7 + 8 + 2 + 7 + 619 + 8 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2330730 + ... + 3576150.

It is an arithmetic number, because the mean of its divisors is an integer number (49980030282).

Almost surely, 2^{3678276198240} is an apocalyptic number.

3678276198240 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 3678276198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197124360608).

3678276198240 is an abundant number, since it is smaller than the sum of its proper divisors (10715972522976).

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

3678276198240 is a wasteful number, since it uses less digits than its factorization.

3678276198240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245742 (or 1245731 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 3678276198240 in words is "three trillion, six hundred seventy-eight billion, two hundred seventy-six million, one hundred ninety-eight thousand, two hundred forty".