3164405760 has 408 divisors, whose sum is σ = 11654833320. Its totient is φ = 792723456.

The previous prime is 3164405759. The next prime is 3164405767. The reversal of 3164405760 is 675044613.

It is a happy number.

3164405760 is a `hidden beast` number, since 3 + 1 + 644 + 0 + 5 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 897122304 + 2267283456 = 29952^2 + 47616^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3164405767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85524462 + ... + 85524498.

Almost surely, 2^3164405760 is an apocalyptic number.

3164405760 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 3164405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827416660).

3164405760 is an abundant number, since it is smaller than the sum of its proper divisors (8490427560).

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

3164405760 is an equidigital number, since it uses as much as digits as its factorization.

3164405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3164405760 is about 56253.0511172505. The cubic root of 3164405760 is about 1468.1284526037.

The spelling of 3164405760 in words is "three billion, one hundred sixty-four million, four hundred five thousand, seven hundred sixty".