3137821449312 has 288 divisors, whose sum is σ = 9544601751552. Its totient is φ = 900599040000.

The previous prime is 3137821449271. The next prime is 3137821449313. The reversal of 3137821449312 is 2139441287313.

3137821449312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×3137821449312⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3137821449313) 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, 16831812 + ... + 17017212.

It is an arithmetic number, because the mean of its divisors is an integer number (33140978304).

Almost surely, 2^{3137821449312} is an apocalyptic number.

3137821449312 is a gapful number since it is divisible by the number (32) 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 3137821449312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772300875776).

3137821449312 is an abundant number, since it is smaller than the sum of its proper divisors (6406780302240).

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

3137821449312 is a wasteful number, since it uses less digits than its factorization.

3137821449312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185514 (or 185495 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The spelling of 3137821449312 in words is "three trillion, one hundred thirty-seven billion, eight hundred twenty-one million, four hundred forty-nine thousand, three hundred twelve".