350252412619200 has 2016 divisors, whose sum is σ = 1522254617468928. Its totient is φ = 69770502144000.

The previous prime is 350252412619163. The next prime is 350252412619271. The reversal of 350252412619200 is 2916214252053.

It is a super-4 number, since 4×350252412619200⁴ (a number of 59 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3886164537 + ... + 3886254663.

It is an arithmetic number, because the mean of its divisors is an integer number (755086615808).

Almost surely, 2^{350252412619200} is an apocalyptic number.

350252412619200 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 350252412619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761127308734464).

350252412619200 is an abundant number, since it is smaller than the sum of its proper divisors (1172002204849728).

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

350252412619200 is a wasteful number, since it uses less digits than its factorization.

350252412619200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90251 (or 90229 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 350252412619200 in words is "three hundred fifty trillion, two hundred fifty-two billion, four hundred twelve million, six hundred nineteen thousand, two hundred".