31042211344 has 45 divisors (see below), whose sum is σ = 63914963341. Its totient is φ = 14602461440.

The previous prime is 31042211341. The next prime is 31042211357. The reversal of 31042211344 is 44311224013.

The square root of 31042211344 is 176188.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24167811600 + 6874399744 = 155460^2 + 82912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31042211341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11979489 + ... + 11982079.

Almost surely, 2^31042211344 is an apocalyptic number.

31042211344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

31042211344 is the 176188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31042211344

31042211344 is an abundant number, since it is smaller than the sum of its proper divisors (32872751997).

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

31042211344 is an frugal number, since it uses more digits than its factorization.

31042211344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5224 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Multiplying 31042211344 by its sum of digits (25), we get a square (776055283600 = 880940²).

Multiplying 31042211344 by its product of nonzero digits (2304), we get a square (71521254936576 = 8457024²).

Adding to 31042211344 its reverse (44311224013), we get a palindrome (75353435357).

The spelling of 31042211344 in words is "thirty-one billion, forty-two million, two hundred eleven thousand, three hundred forty-four".