3126898944000 has 3072 divisors, whose sum is σ = 13908900096000. Its totient is φ = 685139558400.

The previous prime is 3126898943933. The next prime is 3126898944053. The reversal of 3126898944000 is 4498986213.

3126898944000 is a `hidden beast` number, since 3 + 1 + 2 + 68 + 98 + 94 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35133695956 + ... + 35133696044.

It is an arithmetic number, because the mean of its divisors is an integer number (4527636750).

Almost surely, 2^{3126898944000} is an apocalyptic number.

3126898944000 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 3126898944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6954450048000).

3126898944000 is an abundant number, since it is smaller than the sum of its proper divisors (10782001152000).

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

3126898944000 is a wasteful number, since it uses less digits than its factorization.

3126898944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 3126898944000 in words is "three trillion, one hundred twenty-six billion, eight hundred ninety-eight million, nine hundred forty-four thousand".