3395624960 has 224 divisors, whose sum is σ = 10040550912. Its totient is φ = 1073479680.

The previous prime is 3395624927. The next prime is 3395625019. The reversal of 3395624960 is 694265933.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3726905 + ... + 3727815.

It is an arithmetic number, because the mean of its divisors is an integer number (44823888).

Almost surely, 2^3395624960 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 3395624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020275456).

3395624960 is an abundant number, since it is smaller than the sum of its proper divisors (6644925952).

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

3395624960 is an equidigital number, since it uses as much as digits as its factorization.

3395624960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 47.

The square root of 3395624960 is about 58271.9912136182. The cubic root of 3395624960 is about 1503.0493464199.

The spelling of 3395624960 in words is "three billion, three hundred ninety-five million, six hundred twenty-four thousand, nine hundred sixty".