3012629840000 has 640 divisors, whose sum is σ = 8706049672320. Its totient is φ = 1025925120000.

The previous prime is 3012629839991. The next prime is 3012629840029. The reversal of 3012629840000 is 489262103.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4143919637 + ... + 4143920363.

It is an arithmetic number, because the mean of its divisors is an integer number (13603202613).

Almost surely, 2^{3012629840000} 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 3012629840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353024836160).

3012629840000 is an abundant number, since it is smaller than the sum of its proper divisors (5693419832320).

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

3012629840000 is a wasteful number, since it uses less digits than its factorization.

3012629840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 3012629840000 in words is "three trillion, twelve billion, six hundred twenty-nine million, eight hundred forty thousand".