3393461760 has 320 divisors, whose sum is σ = 11982358080. Its totient is φ = 813957120.

The previous prime is 3393461713. The next prime is 3393461821. The reversal of 3393461760 is 671643933.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4093026 + ... + 4093854.

It is an arithmetic number, because the mean of its divisors is an integer number (37444869).

Almost surely, 2^3393461760 is an apocalyptic number.

3393461760 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 3393461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991179040).

3393461760 is an abundant number, since it is smaller than the sum of its proper divisors (8588896320).

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

3393461760 is a wasteful number, since it uses less digits than its factorization.

3393461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 42.

The square root of 3393461760 is about 58253.4270236524. The cubic root of 3393461760 is about 1502.7301035639.

The spelling of 3393461760 in words is "three billion, three hundred ninety-three million, four hundred sixty-one thousand, seven hundred sixty".