3665413080 has 256 divisors, whose sum is σ = 14069376000. Its totient is φ = 831458304.

The previous prime is 3665413069. The next prime is 3665413093. The reversal of 3665413080 is 803145663.

3665413080 is a `hidden beast` number, since 3 + 6 + 6 + 541 + 30 + 80 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1033951 + ... + 1037489.

It is an arithmetic number, because the mean of its divisors is an integer number (54958500).

Almost surely, 2^3665413080 is an apocalyptic number.

3665413080 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 3665413080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034688000).

3665413080 is an abundant number, since it is smaller than the sum of its proper divisors (10403962920).

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

3665413080 is a wasteful number, since it uses less digits than its factorization.

3665413080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3693 counting only the distinct ones).

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

The square root of 3665413080 is about 60542.6550458435. The cubic root of 3665413080 is about 1541.8459171692.

The spelling of 3665413080 in words is "three billion, six hundred sixty-five million, four hundred thirteen thousand, eighty".