3345738240 has 640 divisors, whose sum is σ = 12671188992. Its totient is φ = 746127360.

The previous prime is 3345738233. The next prime is 3345738269. The reversal of 3345738240 is 428375433.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3345738240² = 22387928741196595200, 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 63 ways as a sum of consecutive naturals, for example, 71185897 + ... + 71185943.

Almost surely, 2^3345738240 is an apocalyptic number.

3345738240 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 3345738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6335594496).

3345738240 is an abundant number, since it is smaller than the sum of its proper divisors (9325450752).

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

3345738240 is a wasteful number, since it uses less digits than its factorization.

3345738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 3345738240 is about 57842.3567984570. The cubic root of 3345738240 is about 1495.6523351596.

The spelling of 3345738240 in words is "three billion, three hundred forty-five million, seven hundred thirty-eight thousand, two hundred forty".