3129781248000 has 1792 divisors, whose sum is σ = 12984017679360. Its totient is φ = 737280000000.

The previous prime is 3129781247969. The next prime is 3129781248007. The reversal of 3129781248000 is 8421879213.

It is a happy number.

3129781248000 is a `hidden beast` number, since 3 + 1 + 2 + 97 + 81 + 2 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3129781248007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12469247875 + ... + 12469248125.

It is an arithmetic number, because the mean of its divisors is an integer number (7245545580).

Almost surely, 2^{3129781248000} is an apocalyptic number.

3129781248000 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 3129781248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492008839680).

3129781248000 is an abundant number, since it is smaller than the sum of its proper divisors (9854236431360).

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

3129781248000 is a wasteful number, since it uses less digits than its factorization.

3129781248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 3129781248000 in words is "three trillion, one hundred twenty-nine billion, seven hundred eighty-one million, two hundred forty-eight thousand".