346491144 has 192 divisors, whose sum is σ = 1071532800. Its totient is φ = 100472832.

The previous prime is 346491139. The next prime is 346491149. The reversal of 346491144 is 441194643.

It is a happy number.

346491144 is a `hidden beast` number, since 3 + 4 + 649 + 1 + 1 + 4 + 4 = 666.

346491144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (346491139) and next prime (346491149).

It is a super-2 number, since 2×346491144² = 240112225740857472, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 346491099 and 346491108.

It is not an unprimeable number, because it can be changed into a prime (346491149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1092874 + ... + 1093190.

It is an arithmetic number, because the mean of its divisors is an integer number (5580900).

Almost surely, 2^346491144 is an apocalyptic number.

346491144 is a gapful number since it is divisible by the number (34) 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 346491144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535766400).

346491144 is an abundant number, since it is smaller than the sum of its proper divisors (725041656).

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

346491144 is a wasteful number, since it uses less digits than its factorization.

346491144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 405 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 346491144 is about 18614.2725885273. The cubic root of 346491144 is about 702.3669156000.

The spelling of 346491144 in words is "three hundred forty-six million, four hundred ninety-one thousand, one hundred forty-four".