344585041920 has 1152 divisors, whose sum is σ = 1440114923520. Its totient is φ = 77396705280.

The previous prime is 344585041907. The next prime is 344585041949. The reversal of 344585041920 is 29140585443.

344585041920 is a `hidden beast` number, since 3 + 4 + 4 + 58 + 504 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×344585041920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1271531385 + ... + 1271531655.

It is an arithmetic number, because the mean of its divisors is an integer number (1250099760).

Almost surely, 2^344585041920 is an apocalyptic number.

344585041920 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 344585041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720057461760).

344585041920 is an abundant number, since it is smaller than the sum of its proper divisors (1095529881600).

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

344585041920 is an equidigital number, since it uses as much as digits as its factorization.

344585041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 344585041920 in words is "three hundred forty-four billion, five hundred eighty-five million, forty-one thousand, nine hundred twenty".