3358917120 has 320 divisors, whose sum is σ = 12250465920. Its totient is φ = 777781248.

The previous prime is 3358917119. The next prime is 3358917131. The reversal of 3358917120 is 217198533.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3358917120² = 22564648438058188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1696291 + ... + 1698269.

It is an arithmetic number, because the mean of its divisors is an integer number (38282706).

Almost surely, 2^3358917120 is an apocalyptic number.

3358917120 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 3358917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6125232960).

3358917120 is an abundant number, since it is smaller than the sum of its proper divisors (8891548800).

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

3358917120 is a wasteful number, since it uses less digits than its factorization.

3358917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 3358917120 is about 57956.1655046294. The cubic root of 3358917120 is about 1497.6135563825.

The spelling of 3358917120 in words is "three billion, three hundred fifty-eight million, nine hundred seventeen thousand, one hundred twenty".