3403365660 has 384 divisors, whose sum is σ = 11902464000. Its totient is φ = 812934144.

The previous prime is 3403365601. The next prime is 3403365689. The reversal of 3403365660 is 665633043.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17102241 + ... + 17102439.

It is an arithmetic number, because the mean of its divisors is an integer number (30996000).

Almost surely, 2^3403365660 is an apocalyptic number.

3403365660 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 3403365660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951232000).

3403365660 is an abundant number, since it is smaller than the sum of its proper divisors (8499098340).

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

3403365660 is a wasteful number, since it uses less digits than its factorization.

3403365660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 3403365660 is about 58338.3721061875. The cubic root of 3403365660 is about 1504.1906016693.

It can be divided in two parts, 3403365 and 660, that added together give a square (3404025 = 1845²).

The spelling of 3403365660 in words is "three billion, four hundred three million, three hundred sixty-five thousand, six hundred sixty".