352840800 has 288 divisors, whose sum is σ = 1270418688. Its totient is φ = 84510720.

The previous prime is 352840799. The next prime is 352840801. The reversal of 352840800 is 8048253.

It is an interprime number because it is at equal distance from previous prime (352840799) and next prime (352840801).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352840801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1341469 + ... + 1341731.

It is an arithmetic number, because the mean of its divisors is an integer number (4411176).

Almost surely, 2^352840800 is an apocalyptic number.

352840800 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 352840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635209344).

352840800 is an abundant number, since it is smaller than the sum of its proper divisors (917577888).

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

352840800 is a wasteful number, since it uses less digits than its factorization.

352840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 352840800 is about 18784.0570697600. The cubic root of 352840800 is about 706.6314012701.

The spelling of 352840800 in words is "three hundred fifty-two million, eight hundred forty thousand, eight hundred".