352818000 has 240 divisors, whose sum is σ = 1305894096. Its totient is φ = 88473600.

The previous prime is 352817989. The next prime is 352818023. The reversal of 352818000 is 818253.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 31404816 + 321413184 = 5604^2 + 17928^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×352818000² = 248961082248000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305424 + ... + 306576.

Almost surely, 2^352818000 is an apocalyptic number.

352818000 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 352818000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652947048).

352818000 is an abundant number, since it is smaller than the sum of its proper divisors (953076096).

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

352818000 is a wasteful number, since it uses less digits than its factorization.

352818000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 352818000 is about 18783.4501623104. The cubic root of 352818000 is about 706.6161804840.

It can be divided in two parts, 3528 and 18000, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 352818000 in words is "three hundred fifty-two million, eight hundred eighteen thousand".