344545211010 has 256 divisors, whose sum is σ = 1140265340928. Its totient is φ = 64300262400.

The previous prime is 344545211009. The next prime is 344545211011. The reversal of 344545211010 is 10112545443.

344545211010 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (344545211009) and next prime (344545211011).

It is a super-2 number, since 2×344545211010² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (344545211011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 956065 + ... + 1266155.

It is an arithmetic number, because the mean of its divisors is an integer number (4454161488).

Almost surely, 2^344545211010 is an apocalyptic number.

344545211010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 344545211010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570132670464).

344545211010 is an abundant number, since it is smaller than the sum of its proper divisors (795720129918).

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

344545211010 is a wasteful number, since it uses less digits than its factorization.

344545211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310169.

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 344545211010 its reverse (10112545443), we get a palindrome (354657756453).

It can be divided in two parts, 344545 and 211010, that added together give a palindrome (555555).

The spelling of 344545211010 in words is "three hundred forty-four billion, five hundred forty-five million, two hundred eleven thousand, ten".