346721536 has 72 divisors (see below), whose sum is σ = 795884544. Its totient is φ = 147671040.

The previous prime is 346721533. The next prime is 346721539. The reversal of 346721536 is 635127643.

It is an interprime number because it is at equal distance from previous prime (346721533) and next prime (346721539).

It is a junction number, because it is equal to n+sod(n) for n = 346721495 and 346721504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346721533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341766 + ... + 342778.

It is an arithmetic number, because the mean of its divisors is an integer number (11053952).

Almost surely, 2^346721536 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 346721536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397942272).

346721536 is an abundant number, since it is smaller than the sum of its proper divisors (449163008).

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

346721536 is a wasteful number, since it uses less digits than its factorization.

346721536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1213 counting only the distinct ones).

The product of its digits is 90720, while the sum is 37.

The square root of 346721536 is about 18620.4601446903. The cubic root of 346721536 is about 702.5225558121.

The spelling of 346721536 in words is "three hundred forty-six million, seven hundred twenty-one thousand, five hundred thirty-six".