356445936 has 480 divisors, whose sum is σ = 1381625856. Its totient is φ = 82944000.

The previous prime is 356445917. The next prime is 356445941. The reversal of 356445936 is 639544653.

356445936 is a `hidden beast` number, since 3 + 56 + 4 + 4 + 593 + 6 = 666.

It is a super-3 number, since 3×356445936³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 356445891 and 356445900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5843346 + ... + 5843406.

Almost surely, 2^356445936 is an apocalyptic number.

356445936 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 356445936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690812928).

356445936 is an abundant number, since it is smaller than the sum of its proper divisors (1025179920).

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

356445936 is a wasteful number, since it uses less digits than its factorization.

356445936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The square root of 356445936 is about 18879.7758461270. The cubic root of 356445936 is about 709.0299096890.

The spelling of 356445936 in words is "three hundred fifty-six million, four hundred forty-five thousand, nine hundred thirty-six".