355606416 has 120 divisors (see below), whose sum is σ = 1122115680. Its totient is φ = 107743680.

The previous prime is 355606409. The next prime is 355606423. The reversal of 355606416 is 614606553.

355606416 is a `hidden beast` number, since 3 + 5 + 5 + 6 + 0 + 641 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (355606409) and next prime (355606423).

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

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 23 ways as a sum of consecutive naturals, for example, 48871 + ... + 55673.

It is an arithmetic number, because the mean of its divisors is an integer number (9350964).

Almost surely, 2^355606416 is an apocalyptic number.

355606416 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 355606416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561057840).

355606416 is an abundant number, since it is smaller than the sum of its proper divisors (766509264).

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

355606416 is a wasteful number, since it uses less digits than its factorization.

355606416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6842 (or 6819 counting only the distinct ones).

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

The square root of 355606416 is about 18857.5294246092. The cubic root of 355606416 is about 708.4728240657.

The spelling of 355606416 in words is "three hundred fifty-five million, six hundred six thousand, four hundred sixteen".