3398693760 has 768 divisors, whose sum is σ = 14970009600. Its totient is φ = 690094080.

The previous prime is 3398693747. The next prime is 3398693797. The reversal of 3398693760 is 673968933.

It is a super-2 number, since 2×3398693760² = 23102238548525875200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3398693697 and 3398693706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35038032 + ... + 35038128.

It is an arithmetic number, because the mean of its divisors is an integer number (19492200).

Almost surely, 2^3398693760 is an apocalyptic number.

3398693760 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 3398693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7485004800).

3398693760 is an abundant number, since it is smaller than the sum of its proper divisors (11571315840).

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

3398693760 is a wasteful number, since it uses less digits than its factorization.

3398693760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 3398693760 is about 58298.3169568385. The cubic root of 3398693760 is about 1503.5020042812.

The spelling of 3398693760 in words is "three billion, three hundred ninety-eight million, six hundred ninety-three thousand, seven hundred sixty".