350012033280 has 1296 divisors, whose sum is σ = 1565811596160. Its totient is φ = 73788309504.

The previous prime is 350012033233. The next prime is 350012033291. The reversal of 350012033280 is 82330210053.

350012033280 is a `hidden beast` number, since 3 + 500 + 120 + 3 + 32 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 286190749 + ... + 286191971.

It is an arithmetic number, because the mean of its divisors is an integer number (1208187960).

Almost surely, 2^350012033280 is an apocalyptic number.

350012033280 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 350012033280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782905798080).

350012033280 is an abundant number, since it is smaller than the sum of its proper divisors (1215799562880).

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

350012033280 is a wasteful number, since it uses less digits than its factorization.

350012033280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 350012033280 in words is "three hundred fifty billion, twelve million, thirty-three thousand, two hundred eighty".