3405163680 has 144 divisors (see below), whose sum is σ = 11651074344. Its totient is φ = 905625600.

The previous prime is 3405163651. The next prime is 3405163739. The reversal of 3405163680 is 863615043.

3405163680 is a `hidden beast` number, since 34 + 0 + 516 + 36 + 80 = 666.

3405163680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3349631376 + 55532304 = 57876^2 + 7452^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3405163680² = 23190279375182284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574492 + ... + 580388.

Almost surely, 2^3405163680 is an apocalyptic number.

3405163680 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 3405163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5825537172).

3405163680 is an abundant number, since it is smaller than the sum of its proper divisors (8245910664).

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

3405163680 is a wasteful number, since it uses less digits than its factorization.

3405163680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6319 (or 6308 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3405163680 is about 58353.7803402659. The cubic root of 3405163680 is about 1504.4554462296.

The spelling of 3405163680 in words is "three billion, four hundred five million, one hundred sixty-three thousand, six hundred eighty".