352898784 has 216 divisors, whose sum is σ = 1236912768. Its totient is φ = 94832640.

The previous prime is 352898783. The next prime is 352898789. The reversal of 352898784 is 487898253.

It is a happy number.

It is a super-3 number, since 3×352898784³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 352898784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352898783) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 239169 + ... + 240639.

It is an arithmetic number, because the mean of its divisors is an integer number (5726448).

Almost surely, 2^352898784 is an apocalyptic number.

352898784 is a gapful number since it is divisible by the number (34) 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 352898784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618456384).

352898784 is an abundant number, since it is smaller than the sum of its proper divisors (884013984).

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

352898784 is a wasteful number, since it uses less digits than its factorization.

352898784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1500 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 352898784 is about 18785.6004428924. The cubic root of 352898784 is about 706.6701071784.

The spelling of 352898784 in words is "three hundred fifty-two million, eight hundred ninety-eight thousand, seven hundred eighty-four".