3384039360 has 224 divisors, whose sum is σ = 11945428992. Its totient is φ = 806031360.

The previous prime is 3384039359. The next prime is 3384039367. The reversal of 3384039360 is 639304833.

It is a super-2 number, since 2×3384039360² = 22903444780058419200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384039367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382507 + ... + 391253.

It is an arithmetic number, because the mean of its divisors is an integer number (53327808).

Almost surely, 2^3384039360 is an apocalyptic number.

3384039360 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 3384039360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5972714496).

3384039360 is an abundant number, since it is smaller than the sum of its proper divisors (8561389632).

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

3384039360 is a wasteful number, since it uses less digits than its factorization.

3384039360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8811 (or 8801 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The square root of 3384039360 is about 58172.4965941810. The cubic root of 3384039360 is about 1501.3379706460.

The spelling of 3384039360 in words is "three billion, three hundred eighty-four million, thirty-nine thousand, three hundred sixty".