350072765000 has 160 divisors (see below), whose sum is σ = 978153390720. Its totient is φ = 114806208000.

The previous prime is 350072764957. The next prime is 350072765051. The reversal of 350072765000 is 567270053.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 587564 + ... + 1022436.

It is an arithmetic number, because the mean of its divisors is an integer number (6113458692).

Almost surely, 2^350072765000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350072765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489076695360).

350072765000 is an abundant number, since it is smaller than the sum of its proper divisors (628080625720).

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

350072765000 is a wasteful number, since it uses less digits than its factorization.

350072765000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434929 (or 434910 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 35.

The spelling of 350072765000 in words is "three hundred fifty billion, seventy-two million, seven hundred sixty-five thousand".