352791306 has 96 divisors (see below), whose sum is σ = 914554368. Its totient is φ = 96180480.

The previous prime is 352791301. The next prime is 352791359. The reversal of 352791306 is 603197253.

It is not an unprimeable number, because it can be changed into a prime (352791301) 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, 242076 + ... + 243528.

It is an arithmetic number, because the mean of its divisors is an integer number (9526608).

Almost surely, 2^352791306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352791306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457277184).

352791306 is an abundant number, since it is smaller than the sum of its proper divisors (561763062).

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

352791306 is a wasteful number, since it uses less digits than its factorization.

352791306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 352791306 is about 18782.7395765368. The cubic root of 352791306 is about 706.5983593146.

It can be divided in two parts, 35279 and 1306, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 352791306 in words is "three hundred fifty-two million, seven hundred ninety-one thousand, three hundred six".