3355410240 has 1008 divisors, whose sum is σ = 15177576960. Its totient is φ = 673505280.

The previous prime is 3355410239. The next prime is 3355410277. The reversal of 3355410240 is 420145533.

3355410240 is a `hidden beast` number, since 3 + 3 + 5 + 5 + 410 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×3355410240³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56871331 + ... + 56871389.

It is an arithmetic number, because the mean of its divisors is an integer number (15057120).

Almost surely, 2^3355410240 is an apocalyptic number.

3355410240 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 3355410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588788480).

3355410240 is an abundant number, since it is smaller than the sum of its proper divisors (11822166720).

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

3355410240 is a wasteful number, since it uses less digits than its factorization.

3355410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3355410240 is about 57925.9030141093. The cubic root of 3355410240 is about 1497.0921800312.

Adding to 3355410240 its reverse (420145533), we get a palindrome (3775555773).

It can be divided in two parts, 3355 and 410240, that added together give a triangular number (413595 = T₉₀₉).

The spelling of 3355410240 in words is "three billion, three hundred fifty-five million, four hundred ten thousand, two hundred forty".