353952816 has 80 divisors (see below), whose sum is σ = 1049051904. Its totient is φ = 100737792.

The previous prime is 353952811. The next prime is 353952857. The reversal of 353952816 is 618259353.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is not an unprimeable number, because it can be changed into a prime (353952811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91171 + ... + 94973.

Almost surely, 2^353952816 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 353952816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524525952).

353952816 is an abundant number, since it is smaller than the sum of its proper divisors (695099088).

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

353952816 is a wasteful number, since it uses less digits than its factorization.

353952816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098 (or 4092 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 353952816 is about 18813.6337797885. The cubic root of 353952816 is about 707.3729645763.

The spelling of 353952816 in words is "three hundred fifty-three million, nine hundred fifty-two thousand, eight hundred sixteen".