3354705360 has 240 divisors, whose sum is σ = 11918612160. Its totient is φ = 843264000.

The previous prime is 3354705359. The next prime is 3354705407. The reversal of 3354705360 is 635074533.

3354705360 is a `hidden beast` number, since 3 + 3 + 54 + 70 + 536 + 0 = 666.

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

It is a super-2 number, since 2×3354705360² = 22508096104825459200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3433192 + ... + 3434168.

It is an arithmetic number, because the mean of its divisors is an integer number (49660884).

Almost surely, 2^3354705360 is an apocalyptic number.

3354705360 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 3354705360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959306080).

3354705360 is an abundant number, since it is smaller than the sum of its proper divisors (8563906800).

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

3354705360 is a wasteful number, since it uses less digits than its factorization.

3354705360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The square root of 3354705360 is about 57919.8183698810. The cubic root of 3354705360 is about 1496.9873399706.

Adding to 3354705360 its reverse (635074533), we get a palindrome (3989779893).

The spelling of 3354705360 in words is "three billion, three hundred fifty-four million, seven hundred five thousand, three hundred sixty".