340375044100 has 288 divisors, whose sum is σ = 933180272640. Its totient is φ = 104881512960.

The previous prime is 340375044091. The next prime is 340375044109. The reversal of 340375044100 is 1440573043.

It is an interprime number because it is at equal distance from previous prime (340375044091) and next prime (340375044109).

It is not an unprimeable number, because it can be changed into a prime (340375044109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140475489 + ... + 140477911.

It is an arithmetic number, because the mean of its divisors is an integer number (3240209280).

Almost surely, 2^340375044100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340375044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466590136320).

340375044100 is an abundant number, since it is smaller than the sum of its proper divisors (592805228540).

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

340375044100 is a wasteful number, since it uses less digits than its factorization.

340375044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The spelling of 340375044100 in words is "three hundred forty billion, three hundred seventy-five million, forty-four thousand, one hundred".