355406616 has 80 divisors (see below), whose sum is σ = 999077640. Its totient is φ = 118039680.

The previous prime is 355406591. The next prime is 355406627. The reversal of 355406616 is 616604553.

355406616 is a `hidden beast` number, since 35 + 5 + 4 + 0 + 6 + 616 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 213660 + ... + 215316.

Almost surely, 2^355406616 is an apocalyptic number.

355406616 is a gapful number since it is divisible by the number (36) 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 355406616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499538820).

355406616 is an abundant number, since it is smaller than the sum of its proper divisors (643671024).

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

355406616 is a wasteful number, since it uses less digits than its factorization.

355406616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 355406616 is about 18852.2310616012. The cubic root of 355406616 is about 708.3401123719.

The spelling of 355406616 in words is "three hundred fifty-five million, four hundred six thousand, six hundred sixteen".