3146073799680 has 616 divisors, whose sum is σ = 12931717996512. Its totient is φ = 719096610816.

The previous prime is 3146073799639. The next prime is 3146073799691. The reversal of 3146073799680 is 869973706413.

3146073799680 is a `hidden beast` number, since 3 + 1 + 460 + 7 + 3 + 7 + 9 + 96 + 80 = 666.

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 55 ways as a sum of consecutive naturals, for example, 26067154 + ... + 26187566.

Almost surely, 2^{3146073799680} is an apocalyptic number.

3146073799680 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 3146073799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6465858998256).

3146073799680 is an abundant number, since it is smaller than the sum of its proper divisors (9785644196832).

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

3146073799680 is an equidigital number, since it uses as much as digits as its factorization.

3146073799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120463 (or 120430 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 3146073799680 in words is "three trillion, one hundred forty-six billion, seventy-three million, seven hundred ninety-nine thousand, six hundred eighty".