3349506240 has 168 divisors, whose sum is σ = 11555943360. Its totient is φ = 890486784.

The previous prime is 3349506233. The next prime is 3349506299. The reversal of 3349506240 is 426059433.

It is a super-2 number, since 2×3349506240² = 22438384103597875200, 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 = 3349506195 and 3349506204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1055376 + ... + 1058544.

Almost surely, 2^3349506240 is an apocalyptic number.

3349506240 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 3349506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5777971680).

3349506240 is an abundant number, since it is smaller than the sum of its proper divisors (8206437120).

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

3349506240 is a wasteful number, since it uses less digits than its factorization.

3349506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3349506240 is about 57874.9189200296. The cubic root of 3349506240 is about 1496.2135968095.

The spelling of 3349506240 in words is "three billion, three hundred forty-nine million, five hundred six thousand, two hundred forty".