3403160640 has 672 divisors, whose sum is σ = 13865230080. Its totient is φ = 756940800.

The previous prime is 3403160639. The next prime is 3403160689. The reversal of 3403160640 is 460613043.

3403160640 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 16 + 0 + 640 = 666.

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, 38237716 + ... + 38237804.

Almost surely, 2^3403160640 is an apocalyptic number.

3403160640 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 3403160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6932615040).

3403160640 is an abundant number, since it is smaller than the sum of its proper divisors (10462069440).

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

3403160640 is a wasteful number, since it uses less digits than its factorization.

3403160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3403160640 is about 58336.6149172199. The cubic root of 3403160640 is about 1504.1603967309.

Adding to 3403160640 its reverse (460613043), we get a palindrome (3863773683).

The spelling of 3403160640 in words is "three billion, four hundred three million, one hundred sixty thousand, six hundred forty".