3358506240 has 360 divisors, whose sum is σ = 12442870440. Its totient is φ = 863944704.

The previous prime is 3358506233. The next prime is 3358506251. The reversal of 3358506240 is 426058533.

It is a happy number.

3358506240 is a `hidden beast` number, since 33 + 585 + 0 + 6 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 3351020544 = 2736^2 + 57888^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3358506240² = 22559128328237875200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3358506195 and 3358506204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3006162 + ... + 3007278.

It is an arithmetic number, because the mean of its divisors is an integer number (34563529).

Almost surely, 2^3358506240 is an apocalyptic number.

3358506240 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 3358506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6221435220).

3358506240 is an abundant number, since it is smaller than the sum of its proper divisors (9084364200).

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

3358506240 is a wasteful number, since it uses less digits than its factorization.

3358506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3358506240 is about 57952.6206482502. The cubic root of 3358506240 is about 1497.5524886308.

The spelling of 3358506240 in words is "three billion, three hundred fifty-eight million, five hundred six thousand, two hundred forty".