350955072 has 224 divisors, whose sum is σ = 1177747200. Its totient is φ = 101523456.

The previous prime is 350955053. The next prime is 350955079. The reversal of 350955072 is 270559053.

350955072 is a `hidden beast` number, since 35 + 0 + 9 + 550 + 72 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (350955079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381429 + ... + 382347.

It is an arithmetic number, because the mean of its divisors is an integer number (5257800).

Almost surely, 2^350955072 is an apocalyptic number.

350955072 is a gapful number since it is divisible by the number (32) 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 350955072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588873600).

350955072 is an abundant number, since it is smaller than the sum of its proper divisors (826792128).

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

350955072 is a wasteful number, since it uses less digits than its factorization.

350955072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 350955072 is about 18733.7949172078. The cubic root of 350955072 is about 705.3703079480.

The spelling of 350955072 in words is "three hundred fifty million, nine hundred fifty-five thousand, seventy-two".