350207712000 has 864 divisors, whose sum is σ = 1352755010880. Its totient is φ = 90110361600.

The previous prime is 350207711981. The next prime is 350207712007. The reversal of 350207712000 is 217702053.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (350207712007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225503224 + ... + 225504776.

It is an arithmetic number, because the mean of its divisors is an integer number (1565688670).

Almost surely, 2^350207712000 is an apocalyptic number.

350207712000 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 350207712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676377505440).

350207712000 is an abundant number, since it is smaller than the sum of its proper divisors (1002547298880).

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

350207712000 is an equidigital number, since it uses as much as digits as its factorization.

350207712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The spelling of 350207712000 in words is "three hundred fifty billion, two hundred seven million, seven hundred twelve thousand".