344863680 has 448 divisors, whose sum is σ = 1371356160. Its totient is φ = 71663616.

The previous prime is 344863667. The next prime is 344863681. The reversal of 344863680 is 86368443.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344863681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4724124 + ... + 4724196.

Almost surely, 2^344863680 is an apocalyptic number.

344863680 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 344863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685678080).

344863680 is an abundant number, since it is smaller than the sum of its proper divisors (1026492480).

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

344863680 is a wasteful number, since it uses less digits than its factorization.

344863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 344863680 is about 18570.5056473969. The cubic root of 344863680 is about 701.2655202287.

It can be divided in two parts, 344863 and 680, that added together give a palindrome (345543).

The spelling of 344863680 in words is "three hundred forty-four million, eight hundred sixty-three thousand, six hundred eighty".