350986752 has 120 divisors (see below), whose sum is σ = 1030938480. Its totient is φ = 114923520.

The previous prime is 350986721. The next prime is 350986763. The reversal of 350986752 is 257689053.

It is a happy number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 350986698 and 350986707.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 271227 + ... + 272517.

It is an arithmetic number, because the mean of its divisors is an integer number (8591154).

Almost surely, 2^350986752 is an apocalyptic number.

350986752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350986752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515469240).

350986752 is an abundant number, since it is smaller than the sum of its proper divisors (679951728).

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

350986752 is a wasteful number, since it uses less digits than its factorization.

350986752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 350986752 is about 18734.6404288953. The cubic root of 350986752 is about 705.3915314234.

The spelling of 350986752 in words is "three hundred fifty million, nine hundred eighty-six thousand, seven hundred fifty-two".