3397935680 has 224 divisors, whose sum is σ = 8955999360. Its totient is φ = 1223147520.

The previous prime is 3397935677. The next prime is 3397935689. The reversal of 3397935680 is 865397933.

It is not an unprimeable number, because it can be changed into a prime (3397935689) 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, 10718882 + ... + 10719198.

It is an arithmetic number, because the mean of its divisors is an integer number (39982140).

Almost surely, 2^3397935680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3397935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477999680).

3397935680 is an abundant number, since it is smaller than the sum of its proper divisors (5558063680).

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

3397935680 is a wasteful number, since it uses less digits than its factorization.

3397935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 53.

The square root of 3397935680 is about 58291.8148628090. The cubic root of 3397935680 is about 1503.3902103948.

The spelling of 3397935680 in words is "three billion, three hundred ninety-seven million, nine hundred thirty-five thousand, six hundred eighty".