350056080 has 240 divisors, whose sum is σ = 1330789824. Its totient is φ = 84810240.

The previous prime is 350056079. The next prime is 350056081. The reversal of 350056080 is 80650053.

350056080 is a `hidden beast` number, since 3 + 50 + 0 + 5 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (350056079) and next prime (350056081).

It is a tau number, because it is divible by the number of its divisors (240).

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 (350056081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213022 + ... + 214658.

Almost surely, 2^350056080 is an apocalyptic number.

350056080 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 350056080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665394912).

350056080 is an abundant number, since it is smaller than the sum of its proper divisors (980733744).

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

350056080 is a wasteful number, since it uses less digits than its factorization.

350056080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 350056080 is about 18709.7856748815. The cubic root of 350056080 is about 704.7675104833.

The spelling of 350056080 in words is "three hundred fifty million, fifty-six thousand, eighty".