350072016 has 80 divisors (see below), whose sum is σ = 1051123200. Its totient is φ = 98319744.

The previous prime is 350071993. The next prime is 350072039. The reversal of 350072016 is 610270053.

It is an interprime number because it is at equal distance from previous prime (350071993) and next prime (350072039).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10995 + ... + 28653.

It is an arithmetic number, because the mean of its divisors is an integer number (13139040).

Almost surely, 2^350072016 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 350072016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525561600).

350072016 is an abundant number, since it is smaller than the sum of its proper divisors (701051184).

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

350072016 is a wasteful number, since it uses less digits than its factorization.

350072016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17736 (or 17730 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 350072016 is about 18710.2115434326. The cubic root of 350072016 is about 704.7782049646.

The spelling of 350072016 in words is "three hundred fifty million, seventy-two thousand, sixteen".