350620272 has 80 divisors (see below), whose sum is σ = 1013824000. Its totient is φ = 116012736.

The previous prime is 350620247. The next prime is 350620273. The reversal of 350620272 is 272026053.

350620272 is a `hidden beast` number, since 35 + 0 + 620 + 2 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350620273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57129 + ... + 62967.

It is an arithmetic number, because the mean of its divisors is an integer number (12672800).

Almost surely, 2^350620272 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 350620272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506912000).

350620272 is an abundant number, since it is smaller than the sum of its proper divisors (663203728).

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

350620272 is a wasteful number, since it uses less digits than its factorization.

350620272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5995 (or 5983 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 350620272 is about 18724.8570622048. The cubic root of 350620272 is about 705.1459362895.

The spelling of 350620272 in words is "three hundred fifty million, six hundred twenty thousand, two hundred seventy-two".