350213976 has 256 divisors, whose sum is σ = 1180800000. Its totient is φ = 96018048.

The previous prime is 350213951. The next prime is 350213987. The reversal of 350213976 is 679312053.

350213976 is a `hidden beast` number, since 350 + 213 + 97 + 6 = 666.

It is a super-3 number, since 3×350213976³ (a number of 27 digits) contains 333 as substring.

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 350213976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2148471 + ... + 2148633.

It is an arithmetic number, because the mean of its divisors is an integer number (4612500).

Almost surely, 2^350213976 is an apocalyptic number.

350213976 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 350213976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590400000).

350213976 is an abundant number, since it is smaller than the sum of its proper divisors (830586024).

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

350213976 is a wasteful number, since it uses less digits than its factorization.

350213976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 350213976 is about 18714.0048092331. The cubic root of 350213976 is about 704.8734585015.

The spelling of 350213976 in words is "three hundred fifty million, two hundred thirteen thousand, nine hundred seventy-six".