353806056 has 192 divisors, whose sum is σ = 1067713920. Its totient is φ = 109486080.

The previous prime is 353806027. The next prime is 353806129. The reversal of 353806056 is 650608353.

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

It is a self number, because there is not a number n which added to its sum of digits gives 353806056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1833096 + ... + 1833288.

It is an arithmetic number, because the mean of its divisors is an integer number (5561010).

Almost surely, 2^353806056 is an apocalyptic number.

353806056 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 353806056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533856960).

353806056 is an abundant number, since it is smaller than the sum of its proper divisors (713907864).

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

353806056 is a wasteful number, since it uses less digits than its factorization.

353806056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 262 counting only the distinct ones).

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

The square root of 353806056 is about 18809.7330124593. The cubic root of 353806056 is about 707.2751846811.

The spelling of 353806056 in words is "three hundred fifty-three million, eight hundred six thousand, fifty-six".