344294141400 has 144 divisors (see below), whose sum is σ = 1261368608760. Its totient is φ = 83465241600.

The previous prime is 344294141369. The next prime is 344294141407. The reversal of 344294141400 is 4141492443.

It is a happy number.

344294141400 is a `hidden beast` number, since 344 + 294 + 14 + 14 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344294141407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8674497 + ... + 8714096.

Almost surely, 2^344294141400 is an apocalyptic number.

344294141400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344294141400 is an abundant number, since it is smaller than the sum of its proper divisors (917074467360).

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

344294141400 is a wasteful number, since it uses less digits than its factorization.

344294141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17388626 (or 17388614 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 344294141400 in words is "three hundred forty-four billion, two hundred ninety-four million, one hundred forty-one thousand, four hundred".