352175040 has 336 divisors, whose sum is σ = 1437875712. Its totient is φ = 80372736.

The previous prime is 352175027. The next prime is 352175041. The reversal of 352175040 is 40571253.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 352174995 and 352175013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352175041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543997 + ... + 544643.

It is an arithmetic number, because the mean of its divisors is an integer number (4279392).

Almost surely, 2^352175040 is an apocalyptic number.

352175040 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 352175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718937856).

352175040 is an abundant number, since it is smaller than the sum of its proper divisors (1085700672).

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

352175040 is an equidigital number, since it uses as much as digits as its factorization.

352175040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 352175040 is about 18766.3272911883. The cubic root of 352175040 is about 706.1866840672.

The spelling of 352175040 in words is "three hundred fifty-two million, one hundred seventy-five thousand, forty".