3151978816000 has 640 divisors, whose sum is σ = 9402261073920. Its totient is φ = 1031159808000.

The previous prime is 3151978815919. The next prime is 3151978816003. The reversal of 3151978816000 is 6188791513.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-5 number, since 5×3151978816000⁵ (a number of 64 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (3151978816003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1013822446 + ... + 1013825554.

It is an arithmetic number, because the mean of its divisors is an integer number (14691032928).

Almost surely, 2^{3151978816000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3151978816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701130536960).

3151978816000 is an abundant number, since it is smaller than the sum of its proper divisors (6250282257920).

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

3151978816000 is an equidigital number, since it uses as much as digits as its factorization.

3151978816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 49.

The spelling of 3151978816000 in words is "three trillion, one hundred fifty-one billion, nine hundred seventy-eight million, eight hundred sixteen thousand".