353661616 has 120 divisors (see below), whose sum is σ = 907870464. Its totient is φ = 131725440.

The previous prime is 353661601. The next prime is 353661619. The reversal of 353661616 is 616166353.

It is not an unprimeable number, because it can be changed into a prime (353661619) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197461 + ... + 199243.

Almost surely, 2^353661616 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 353661616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453935232).

353661616 is an abundant number, since it is smaller than the sum of its proper divisors (554208848).

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

353661616 is a wasteful number, since it uses less digits than its factorization.

353661616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1826 counting only the distinct ones).

The product of its digits is 58320, while the sum is 37.

The square root of 353661616 is about 18805.8931189135. The cubic root of 353661616 is about 707.1789240970.

The spelling of 353661616 in words is "three hundred fifty-three million, six hundred sixty-one thousand, six hundred sixteen".