344965367040 has 576 divisors, whose sum is σ = 1304697300480. Its totient is φ = 76040110080.

The previous prime is 344965367039. The next prime is 344965367059. The reversal of 344965367040 is 40763569443.

It is a happy number.

It is a super-2 number, since 2×344965367040² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 98083362 + ... + 98086878.

It is an arithmetic number, because the mean of its divisors is an integer number (2265099480).

Almost surely, 2^344965367040 is an apocalyptic number.

344965367040 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 344965367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652348650240).

344965367040 is an abundant number, since it is smaller than the sum of its proper divisors (959731933440).

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

344965367040 is a wasteful number, since it uses less digits than its factorization.

344965367040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 51.

The spelling of 344965367040 in words is "three hundred forty-four billion, nine hundred sixty-five million, three hundred sixty-seven thousand, forty".