349338528 has 384 divisors, whose sum is σ = 1306368000. Its totient is φ = 88197120.

The previous prime is 349338523. The next prime is 349338533. The reversal of 349338528 is 825833943.

349338528 is a `hidden beast` number, since 3 + 4 + 93 + 38 + 528 = 666.

349338528 is a nontrivial binomial coefficient, being equal to C(26433, 2).

It is an interprime number because it is at equal distance from previous prime (349338523) and next prime (349338533).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (349338523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3925108 + ... + 3925196.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2^349338528 is an apocalyptic number.

349338528 is the 26432-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349338528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184000).

349338528 is an abundant number, since it is smaller than the sum of its proper divisors (957029472).

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

349338528 is a wasteful number, since it uses less digits than its factorization.

349338528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 171 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 349338528 is about 18690.5999903695. The cubic root of 349338528 is about 704.2856322015.

It can be divided in two parts, 349338 and 528, that added together give a triangular number (349866 = T₈₃₆).

The spelling of 349338528 in words is "three hundred forty-nine million, three hundred thirty-eight thousand, five hundred twenty-eight".