344763712020 has 192 divisors, whose sum is σ = 1190661728256. Its totient is φ = 72585054720.

The previous prime is 344763712019. The next prime is 344763712037. The reversal of 344763712020 is 20217367443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 344763712020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2482215 + ... + 2617425.

It is an arithmetic number, because the mean of its divisors is an integer number (6201363168).

Almost surely, 2^344763712020 is an apocalyptic number.

344763712020 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 344763712020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595330864128).

344763712020 is an abundant number, since it is smaller than the sum of its proper divisors (845898016236).

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

344763712020 is a wasteful number, since it uses less digits than its factorization.

344763712020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135710 (or 135708 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The spelling of 344763712020 in words is "three hundred forty-four billion, seven hundred sixty-three million, seven hundred twelve thousand, twenty".