344542947840 has 2400 divisors, whose sum is σ = 1651998015360. Its totient is φ = 66647162880.

The previous prime is 344542947829. The next prime is 344542947851. The reversal of 344542947840 is 48749245443.

344542947840 is a `hidden beast` number, since 3 + 4 + 4 + 542 + 94 + 7 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (344542947829) and next prime (344542947851).

It is a super-4 number, since 4×344542947840⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11114288625 + ... + 11114288655.

Almost surely, 2^344542947840 is an apocalyptic number.

344542947840 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 344542947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825999007680).

344542947840 is an abundant number, since it is smaller than the sum of its proper divisors (1307455067520).

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

344542947840 is a wasteful number, since it uses less digits than its factorization.

344542947840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 344542947840 in words is "three hundred forty-four billion, five hundred forty-two million, nine hundred forty-seven thousand, eight hundred forty".