3350350080 has 576 divisors, whose sum is σ = 14834534400. Its totient is φ = 695623680.

The previous prime is 3350350063. The next prime is 3350350097. The reversal of 3350350080 is 800530533.

3350350080 is a `hidden beast` number, since 33 + 50 + 3 + 500 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3350350063) and next prime (3350350097).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3350350080² = 22449691317112012800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2660491 + ... + 2661749.

It is an arithmetic number, because the mean of its divisors is an integer number (25754400).

Almost surely, 2^3350350080 is an apocalyptic number.

3350350080 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 3350350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7417267200).

3350350080 is an abundant number, since it is smaller than the sum of its proper divisors (11484184320).

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

3350350080 is a wasteful number, since it uses less digits than its factorization.

3350350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3350350080 is about 57882.2086655304. The cubic root of 3350350080 is about 1496.3392331252.

The spelling of 3350350080 in words is "three billion, three hundred fifty million, three hundred fifty thousand, eighty".