346061440 has 128 divisors (see below), whose sum is σ = 881280000. Its totient is φ = 129576960.

The previous prime is 346061431. The next prime is 346061453. The reversal of 346061440 is 44160643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 346061399 and 346061408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1811745 + ... + 1811935.

It is an arithmetic number, because the mean of its divisors is an integer number (6885000).

Almost surely, 2^346061440 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 346061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440640000).

346061440 is an abundant number, since it is smaller than the sum of its proper divisors (535218560).

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

346061440 is a wasteful number, since it uses less digits than its factorization.

346061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 346061440 is about 18602.7266818604. The cubic root of 346061440 is about 702.0764466819.

It can be divided in two parts, 34606 and 1440, that added together give a triangular number (36046 = T₂₆₈).

The spelling of 346061440 in words is "three hundred forty-six million, sixty-one thousand, four hundred forty".