3388949760 has 576 divisors, whose sum is σ = 13186252800. Its totient is φ = 740597760.

The previous prime is 3388949731. The next prime is 3388949867. The reversal of 3388949760 is 679498833.

It is a happy number.

It is a super-2 number, since 2×3388949760² = 22969960951608115200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3388949760.

It is a congruent number.

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, 40830679 + ... + 40830761.

It is an arithmetic number, because the mean of its divisors is an integer number (22892800).

Almost surely, 2^3388949760 is an apocalyptic number.

3388949760 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 3388949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6593126400).

3388949760 is an abundant number, since it is smaller than the sum of its proper divisors (9797303040).

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

3388949760 is an equidigital number, since it uses as much as digits as its factorization.

3388949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The square root of 3388949760 is about 58214.6868066814. The cubic root of 3388949760 is about 1502.0637903219.

The spelling of 3388949760 in words is "three billion, three hundred eighty-eight million, nine hundred forty-nine thousand, seven hundred sixty".