3126454853340 has 1152 divisors, whose sum is σ = 11870391214080. Its totient is φ = 599484727296.

The previous prime is 3126454853321. The next prime is 3126454853351. The reversal of 3126454853340 is 433584546213.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3126454853340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10670494234 + ... + 10670494526.

It is an arithmetic number, because the mean of its divisors is an integer number (10304159040).

Almost surely, 2^{3126454853340} is an apocalyptic number.

3126454853340 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 3126454853340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935195607040).

3126454853340 is an abundant number, since it is smaller than the sum of its proper divisors (8743936360740).

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

3126454853340 is a wasteful number, since it uses less digits than its factorization.

3126454853340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 3126454853340 in words is "three trillion, one hundred twenty-six billion, four hundred fifty-four million, eight hundred fifty-three thousand, three hundred forty".