344878007552 has 144 divisors (see below), whose sum is σ = 768799745280. Its totient is φ = 153310617600.

The previous prime is 344878007531. The next prime is 344878007627. The reversal of 344878007552 is 255700878443.

It is a junction number, because it is equal to n+sod(n) for n = 344878007494 and 344878007503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41592527 + ... + 41600817.

It is an arithmetic number, because the mean of its divisors is an integer number (5338887120).

Almost surely, 2^344878007552 is an apocalyptic number.

344878007552 is a gapful number since it is divisible by the number (32) 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 344878007552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384399872640).

344878007552 is an abundant number, since it is smaller than the sum of its proper divisors (423921737728).

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

344878007552 is a wasteful number, since it uses less digits than its factorization.

344878007552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8780 (or 8766 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 53.

The spelling of 344878007552 in words is "three hundred forty-four billion, eight hundred seventy-eight million, seven thousand, five hundred fifty-two".