3930098489856 has 640 divisors, whose sum is σ = 14741947883520. Its totient is φ = 1004053708800.

The previous prime is 3930098489839. The next prime is 3930098489899. The reversal of 3930098489856 is 6589848900393.

3930098489856 is a `hidden beast` number, since 3 + 9 + 3 + 0 + 0 + 98 + 489 + 8 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 64901065 + ... + 64961591.

It is an arithmetic number, because the mean of its divisors is an integer number (23034293568).

Almost surely, 2^{3930098489856} is an apocalyptic number.

3930098489856 is a gapful number since it is divisible by the number (36) 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 3930098489856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370973941760).

3930098489856 is an abundant number, since it is smaller than the sum of its proper divisors (10811849393664).

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

3930098489856 is a wasteful number, since it uses less digits than its factorization.

3930098489856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60633 (or 60611 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 3930098489856 in words is "three trillion, nine hundred thirty billion, ninety-eight million, four hundred eighty-nine thousand, eight hundred fifty-six".