344255049600 has 1536 divisors, whose sum is σ = 1485024952320. Its totient is φ = 68014080000.

The previous prime is 344255049553. The next prime is 344255049613. The reversal of 344255049600 is 6940552443.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1901961510 + ... + 1901961690.

It is an arithmetic number, because the mean of its divisors is an integer number (966813120).

Almost surely, 2^344255049600 is an apocalyptic number.

344255049600 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 344255049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742512476160).

344255049600 is an abundant number, since it is smaller than the sum of its proper divisors (1140769902720).

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

344255049600 is a wasteful number, since it uses less digits than its factorization.

344255049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 344255049600 in words is "three hundred forty-four billion, two hundred fifty-five million, forty-nine thousand, six hundred".