352988544 has 128 divisors (see below), whose sum is σ = 1036385280. Its totient is φ = 105881600.

The previous prime is 352988509. The next prime is 352988549. The reversal of 352988544 is 445889253.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 352988493 and 352988502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352988549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148969 + ... + 151319.

It is an arithmetic number, because the mean of its divisors is an integer number (8096760).

Almost surely, 2^352988544 is an apocalyptic number.

352988544 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 352988544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518192640).

352988544 is an abundant number, since it is smaller than the sum of its proper divisors (683396736).

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

352988544 is a wasteful number, since it uses less digits than its factorization.

352988544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2396 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 352988544 is about 18787.9893549044. The cubic root of 352988544 is about 706.7300160763.

The spelling of 352988544 in words is "three hundred fifty-two million, nine hundred eighty-eight thousand, five hundred forty-four".