3666507840 has 168 divisors, whose sum is σ = 12641323968. Its totient is φ = 975406080.

The previous prime is 3666507839. The next prime is 3666507869. The reversal of 3666507840 is 487056663.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1447375 + ... + 1449905.

It is an arithmetic number, because the mean of its divisors is an integer number (75245976).

Almost surely, 2^3666507840 is an apocalyptic number.

3666507840 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 3666507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320661984).

3666507840 is an abundant number, since it is smaller than the sum of its proper divisors (8974816128).

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

3666507840 is a wasteful number, since it uses less digits than its factorization.

3666507840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3666507840 is about 60551.6955997105. The cubic root of 3666507840 is about 1541.9994044823. Note that the first 3 decimals are identical.

The spelling of 3666507840 in words is "three billion, six hundred sixty-six million, five hundred seven thousand, eight hundred forty".