344140031400 has 192 divisors, whose sum is σ = 1166456056320. Its totient is φ = 83238854400.

The previous prime is 344140031387. The next prime is 344140031401. The reversal of 344140031400 is 4130041443.

It is a super-2 number, since 2×344140031400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (344140031401) 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, 2864949 + ... + 2982651.

It is an arithmetic number, because the mean of its divisors is an integer number (6075291960).

Almost surely, 2^344140031400 is an apocalyptic number.

344140031400 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 344140031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583228028160).

344140031400 is an abundant number, since it is smaller than the sum of its proper divisors (822316024920).

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

344140031400 is a wasteful number, since it uses less digits than its factorization.

344140031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118176 (or 118167 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 344140031400 its reverse (4130041443), we get a palindrome (348270072843).

The spelling of 344140031400 in words is "three hundred forty-four billion, one hundred forty million, thirty-one thousand, four hundred".