3691265760 has 576 divisors, whose sum is σ = 16425182592. Its totient is φ = 732561408.

The previous prime is 3691265741. The next prime is 3691265771. The reversal of 3691265760 is 675621963.

3691265760 is a `hidden beast` number, since 3 + 69 + 12 + 6 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2226852 + ... + 2228508.

It is an arithmetic number, because the mean of its divisors is an integer number (28515942).

Almost surely, 2^3691265760 is an apocalyptic number.

3691265760 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 3691265760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8212591296).

3691265760 is an abundant number, since it is smaller than the sum of its proper divisors (12733916832).

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

3691265760 is a wasteful number, since it uses less digits than its factorization.

3691265760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3691265760 is about 60755.7878724324. The cubic root of 3691265760 is about 1545.4623808515.

The spelling of 3691265760 in words is "three billion, six hundred ninety-one million, two hundred sixty-five thousand, seven hundred sixty".