350428696200 has 768 divisors, whose sum is σ = 1343908627200. Its totient is φ = 84260736000.

The previous prime is 350428696171. The next prime is 350428696207. The reversal of 350428696200 is 2696824053.

350428696200 is a `hidden beast` number, since 3 + 504 + 2 + 86 + 9 + 62 + 0 + 0 = 666.

It is a super-2 number, since 2×350428696200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (350428696207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 832371990 + ... + 832372410.

It is an arithmetic number, because the mean of its divisors is an integer number (1749881025).

Almost surely, 2^350428696200 is an apocalyptic number.

350428696200 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 350428696200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671954313600).

350428696200 is an abundant number, since it is smaller than the sum of its proper divisors (993479931000).

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

350428696200 is a wasteful number, since it uses less digits than its factorization.

350428696200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 350428696200 in words is "three hundred fifty billion, four hundred twenty-eight million, six hundred ninety-six thousand, two hundred".