3349267740 has 288 divisors, whose sum is σ = 12679744896. Its totient is φ = 696729600.

The previous prime is 3349267729. The next prime is 3349267741. The reversal of 3349267740 is 477629433.

3349267740 is a `hidden beast` number, since 3 + 349 + 267 + 7 + 40 = 666.

It is a super-2 number, since 2×3349267740² = 22435188788409415200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3349267741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1194340 + ... + 1197140.

It is an arithmetic number, because the mean of its divisors is an integer number (44026892).

Almost surely, 2^3349267740 is an apocalyptic number.

3349267740 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 3349267740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339872448).

3349267740 is an abundant number, since it is smaller than the sum of its proper divisors (9330477156).

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

3349267740 is a wasteful number, since it uses less digits than its factorization.

3349267740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 3349267740 is about 57872.8584053008. The cubic root of 3349267740 is about 1496.1780835739.

The spelling of 3349267740 in words is "three billion, three hundred forty-nine million, two hundred sixty-seven thousand, seven hundred forty".