349525120 has 128 divisors (see below), whose sum is σ = 971366400. Its totient is φ = 117780480.

The previous prime is 349525103. The next prime is 349525153. The reversal of 349525120 is 21525943.

349525120 = T₁ + T₂ + ... + T₁₂₇₉.

349525120 is a nontrivial binomial coefficient, being equal to C(1281, 3).

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

It is a super-2 number, since 2×349525120² = 244335619022028800, which contains 22 as substring.

It is an unprimeable number.

It is the 1279-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272641 + ... + 273919.

It is an arithmetic number, because the mean of its divisors is an integer number (7588800).

Almost surely, 2^349525120 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 349525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485683200).

349525120 is an abundant number, since it is smaller than the sum of its proper divisors (621841280).

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

349525120 is a wasteful number, since it uses less digits than its factorization.

349525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 349525120 is about 18695.5909240655. The cubic root of 349525120 is about 704.4110031180.

The spelling of 349525120 in words is "three hundred forty-nine million, five hundred twenty-five thousand, one hundred twenty".