344855273840 has 320 divisors, whose sum is σ = 1043375219712. Its totient is φ = 102883123200.

The previous prime is 344855273783. The next prime is 344855273897. The reversal of 344855273840 is 48372558443.

It is an interprime number because it is at equal distance from previous prime (344855273783) and next prime (344855273897).

It is a super-2 number, since 2×344855273840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

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, 13372799 + ... + 13398561.

Almost surely, 2^344855273840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344855273840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521687609856).

344855273840 is an abundant number, since it is smaller than the sum of its proper divisors (698519945872).

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

344855273840 is a wasteful number, since it uses less digits than its factorization.

344855273840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25888 (or 25882 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 53.

The spelling of 344855273840 in words is "three hundred forty-four billion, eight hundred fifty-five million, two hundred seventy-three thousand, eight hundred forty".