3126746465200 has 240 divisors, whose sum is σ = 7895416089600. Its totient is φ = 1188382694400.

The previous prime is 3126746465173. The next prime is 3126746465209. The reversal of 3126746465200 is 25646476213.

It is a super-2 number, since 2×3126746465200² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3126746465209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 741108691 + ... + 741112909.

It is an arithmetic number, because the mean of its divisors is an integer number (32897567040).

Almost surely, 2^{3126746465200} 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 3126746465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947708044800).

3126746465200 is an abundant number, since it is smaller than the sum of its proper divisors (4768669624400).

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

3126746465200 is a wasteful number, since it uses less digits than its factorization.

3126746465200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5340 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 3126746465200 in words is "three trillion, one hundred twenty-six billion, seven hundred forty-six million, four hundred sixty-five thousand, two hundred".