344769643680 has 384 divisors, whose sum is σ = 1425270712320. Its totient is φ = 67869757440.

The previous prime is 344769643657. The next prime is 344769643733. The reversal of 344769643680 is 86346967443.

It is a happy number.

It is a super-2 number, since 2×344769643680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 456762 + ... + 947718.

It is an arithmetic number, because the mean of its divisors is an integer number (3711642480).

Almost surely, 2^344769643680 is an apocalyptic number.

344769643680 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 344769643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712635356160).

344769643680 is an abundant number, since it is smaller than the sum of its proper divisors (1080501068640).

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

344769643680 is a wasteful number, since it uses less digits than its factorization.

344769643680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491012 (or 491004 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 60.

The spelling of 344769643680 in words is "three hundred forty-four billion, seven hundred sixty-nine million, six hundred forty-three thousand, six hundred eighty".