352098000 has 240 divisors, whose sum is σ = 1271442432. Its totient is φ = 90720000.

The previous prime is 352097989. The next prime is 352098011. The reversal of 352098000 is 890253.

It is an interprime number because it is at equal distance from previous prime (352097989) and next prime (352098011).

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

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, 557685 + ... + 558315.

Almost surely, 2^352098000 is an apocalyptic number.

352098000 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 352098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635721216).

352098000 is an abundant number, since it is smaller than the sum of its proper divisors (919344432).

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

352098000 is a wasteful number, since it uses less digits than its factorization.

352098000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 352098000 is about 18764.2745663135. The cubic root of 352098000 is about 706.1351863899.

The spelling of 352098000 in words is "three hundred fifty-two million, ninety-eight thousand".