350389630500 has 768 divisors, whose sum is σ = 1331450265600. Its totient is φ = 69531955200.

The previous prime is 350389630477. The next prime is 350389630501. The reversal of 350389630500 is 5036983053.

It is a super-3 number, since 3×350389630500³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (350389630501) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 433114096 + ... + 433114904.

It is an arithmetic number, because the mean of its divisors is an integer number (1733659200).

Almost surely, 2^350389630500 is an apocalyptic number.

350389630500 is a gapful number since it is divisible by the number (30) 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 350389630500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665725132800).

350389630500 is an abundant number, since it is smaller than the sum of its proper divisors (981060635100).

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

350389630500 is a wasteful number, since it uses less digits than its factorization.

350389630500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The spelling of 350389630500 in words is "three hundred fifty billion, three hundred eighty-nine million, six hundred thirty thousand, five hundred".