350120628000 has 1152 divisors, whose sum is σ = 1523797277184. Its totient is φ = 74916864000.

The previous prime is 350120627999. The next prime is 350120628001. The reversal of 350120628000 is 826021053.

350120628000 is a `hidden beast` number, since 3 + 501 + 20 + 62 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (350120627999) and next prime (350120628001).

It is a super-2 number, since 2×350120628000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (350120628001) 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, 118402522 + ... + 118405478.

It is an arithmetic number, because the mean of its divisors is an integer number (1322740692).

Almost surely, 2^350120628000 is an apocalyptic number.

350120628000 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 350120628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761898638592).

350120628000 is an abundant number, since it is smaller than the sum of its proper divisors (1173676649184).

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

350120628000 is a wasteful number, since it uses less digits than its factorization.

350120628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 350120628000 its reverse (826021053), we get a palindrome (350946649053).

The spelling of 350120628000 in words is "three hundred fifty billion, one hundred twenty million, six hundred twenty-eight thousand".