351386240 has 128 divisors (see below), whose sum is σ = 881280000. Its totient is φ = 133816320.

The previous prime is 351386221. The next prime is 351386263. The reversal of 351386240 is 42683153.

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

It is a super-2 number, since 2×351386240² = 246944579322675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 351386197 and 351386206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1765661 + ... + 1765859.

It is an arithmetic number, because the mean of its divisors is an integer number (6885000).

Almost surely, 2^351386240 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 351386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440640000).

351386240 is an abundant number, since it is smaller than the sum of its proper divisors (529893760).

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

351386240 is a wasteful number, since it uses less digits than its factorization.

351386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 351386240 is about 18745.2991440521. The cubic root of 351386240 is about 705.6590520693.

The spelling of 351386240 in words is "three hundred fifty-one million, three hundred eighty-six thousand, two hundred forty".