354795168 has 192 divisors, whose sum is σ = 1214196480. Its totient is φ = 88031232.

The previous prime is 354795121. The next prime is 354795169. The reversal of 354795168 is 861597453.

It is a super-2 number, since 2×354795168² = 251759222472296448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (354795169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147318 + ... + 149706.

It is an arithmetic number, because the mean of its divisors is an integer number (6323940).

Almost surely, 2^354795168 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 354795168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607098240).

354795168 is an abundant number, since it is smaller than the sum of its proper divisors (859401312).

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

354795168 is a wasteful number, since it uses less digits than its factorization.

354795168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2431 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The square root of 354795168 is about 18836.0072202152. The cubic root of 354795168 is about 707.9336654631.

The spelling of 354795168 in words is "three hundred fifty-four million, seven hundred ninety-five thousand, one hundred sixty-eight".