351949920 has 384 divisors, whose sum is σ = 1378944000. Its totient is φ = 73654272.

The previous prime is 351949909. The next prime is 351949921. The reversal of 351949920 is 29949153.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351949921) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2362006 + ... + 2362154.

It is an arithmetic number, because the mean of its divisors is an integer number (3591000).

Almost surely, 2^351949920 is an apocalyptic number.

351949920 is a gapful number since it is divisible by the number (30) 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 351949920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472000).

351949920 is an abundant number, since it is smaller than the sum of its proper divisors (1026994080).

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

351949920 is a wasteful number, since it uses less digits than its factorization.

351949920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 351949920 is about 18760.3283553354. The cubic root of 351949920 is about 706.0361806580.

The spelling of 351949920 in words is "three hundred fifty-one million, nine hundred forty-nine thousand, nine hundred twenty".