346264540 has 48 divisors (see below), whose sum is σ = 762048000. Its totient is φ = 131912000.

The previous prime is 346264511. The next prime is 346264543. The reversal of 346264540 is 45462643.

346264540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×346264540² = 239798263322823200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 346264496 and 346264505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346264543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113961 + ... + 116959.

It is an arithmetic number, because the mean of its divisors is an integer number (15876000).

Almost surely, 2^346264540 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 346264540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381024000).

346264540 is an abundant number, since it is smaller than the sum of its proper divisors (415783460).

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

346264540 is a wasteful number, since it uses less digits than its factorization.

346264540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The square root of 346264540 is about 18608.1847583261. The cubic root of 346264540 is about 702.2137670377.

The spelling of 346264540 in words is "three hundred forty-six million, two hundred sixty-four thousand, five hundred forty".