350977536 has 480 divisors, whose sum is σ = 1334581248. Its totient is φ = 89579520.

The previous prime is 350977513. The next prime is 350977553. The reversal of 350977536 is 635779053.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 350977491 and 350977500.

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, 11321841 + ... + 11321871.

Almost surely, 2^350977536 is an apocalyptic number.

350977536 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 350977536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667290624).

350977536 is an abundant number, since it is smaller than the sum of its proper divisors (983603712).

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

350977536 is an equidigital number, since it uses as much as digits as its factorization.

350977536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 45.

The square root of 350977536 is about 18734.3944657947. The cubic root of 350977536 is about 705.3853574532.

The spelling of 350977536 in words is "three hundred fifty million, nine hundred seventy-seven thousand, five hundred thirty-six".