3153981841920 has 960 divisors, whose sum is σ = 13471596762624. Its totient is φ = 664082841600.

The previous prime is 3153981841849. The next prime is 3153981841963. The reversal of 3153981841920 is 291481893513.

It is a happy number.

3153981841920 is a `hidden beast` number, since 3 + 1 + 539 + 8 + 1 + 84 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3153981841920² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1260079389 + ... + 1260081891.

Almost surely, 2^{3153981841920} is an apocalyptic number.

3153981841920 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 3153981841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6735798381312).

3153981841920 is an abundant number, since it is smaller than the sum of its proper divisors (10317614920704).

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

3153981841920 is a wasteful number, since it uses less digits than its factorization.

3153981841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 3153981841920 in words is "three trillion, one hundred fifty-three billion, nine hundred eighty-one million, eight hundred forty-one thousand, nine hundred twenty".