346825440 has 288 divisors, whose sum is σ = 1294465536. Its totient is φ = 84049920.

The previous prime is 346825417. The next prime is 346825447. The reversal of 346825440 is 44528643.

346825440 is a `hidden beast` number, since 34 + 6 + 82 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 346825395 and 346825404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346825447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1815745 + ... + 1815935.

It is an arithmetic number, because the mean of its divisors is an integer number (4494672).

Almost surely, 2^346825440 is an apocalyptic number.

346825440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

346825440 is the 9312-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647232768).

346825440 is an abundant number, since it is smaller than the sum of its proper divisors (947640096).

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

346825440 is a wasteful number, since it uses less digits than its factorization.

346825440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 346825440 is about 18623.2499848979. The cubic root of 346825440 is about 702.5927251033.

The spelling of 346825440 in words is "three hundred forty-six million, eight hundred twenty-five thousand, four hundred forty".