3198071761920 has 528 divisors, whose sum is σ = 12903286443840. Its totient is φ = 717191774208.

The previous prime is 3198071761901. The next prime is 3198071761939. The reversal of 3198071761920 is 291671708913.

It is a happy number.

3198071761920 is a `hidden beast` number, since 3 + 1 + 9 + 8 + 0 + 7 + 17 + 619 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3198071761901) and next prime (3198071761939).

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, 17002146 + ... + 17189214.

Almost surely, 2^{3198071761920} is an apocalyptic number.

3198071761920 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 3198071761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451643221920).

3198071761920 is an abundant number, since it is smaller than the sum of its proper divisors (9705214681920).

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

3198071761920 is a wasteful number, since it uses less digits than its factorization.

3198071761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187160 (or 187139 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 3198071761920 in words is "three trillion, one hundred ninety-eight billion, seventy-one million, seven hundred sixty-one thousand, nine hundred twenty".