344848535640 has 192 divisors, whose sum is σ = 1281432821760. Its totient is φ = 78787641600.

The previous prime is 344848535627. The next prime is 344848535683. The reversal of 344848535640 is 46535848443.

344848535640 is a `hidden beast` number, since 3 + 4 + 4 + 8 + 48 + 535 + 64 + 0 = 666.

It is a super-4 number, since 4×344848535640⁴ (a number of 47 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5895417 + ... + 5953623.

It is an arithmetic number, because the mean of its divisors is an integer number (6674129280).

Almost surely, 2^344848535640 is an apocalyptic number.

344848535640 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 344848535640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640716410880).

344848535640 is an abundant number, since it is smaller than the sum of its proper divisors (936584286120).

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

344848535640 is a wasteful number, since it uses less digits than its factorization.

344848535640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60582 (or 60575 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 344848535640 in words is "three hundred forty-four billion, eight hundred forty-eight million, five hundred thirty-five thousand, six hundred forty".