350161920 has 352 divisors, whose sum is σ = 1326456000. Its totient is φ = 87293952.

The previous prime is 350161919. The next prime is 350161927. The reversal of 350161920 is 29161053.

It is a super-2 number, since 2×350161920² = 245226740436172800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (350161927) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2350006 + ... + 2350154.

Almost surely, 2^350161920 is an apocalyptic number.

350161920 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 350161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663228000).

350161920 is an abundant number, since it is smaller than the sum of its proper divisors (976294080).

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

350161920 is a wasteful number, since it uses less digits than its factorization.

350161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 350161920 is about 18712.6139275089. The cubic root of 350161920 is about 704.8385325101.

The spelling of 350161920 in words is "three hundred fifty million, one hundred sixty-one thousand, nine hundred twenty".