352256544 has 72 divisors (see below), whose sum is σ = 1004814720. Its totient is φ = 117057408.

The previous prime is 352256521. The next prime is 352256549. The reversal of 352256544 is 445652253.

352256544 is a `hidden beast` number, since 3 + 52 + 2 + 565 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 352256499 and 352256508.

It is not an unprimeable number, because it can be changed into a prime (352256549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101689 + ... + 105095.

It is an arithmetic number, because the mean of its divisors is an integer number (13955760).

Almost surely, 2^352256544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352256544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502407360).

352256544 is an abundant number, since it is smaller than the sum of its proper divisors (652558176).

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

352256544 is a wasteful number, since it uses less digits than its factorization.

352256544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3771 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 352256544 is about 18768.4987146015. The cubic root of 352256544 is about 706.2411575472.

The spelling of 352256544 in words is "three hundred fifty-two million, two hundred fifty-six thousand, five hundred forty-four".