3660451410 has 256 divisors, whose sum is σ = 11355033600. Its totient is φ = 748500480.

The previous prime is 3660451409. The next prime is 3660451451. The reversal of 3660451410 is 141540663.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon 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, 8262649 + ... + 8263091.

It is an arithmetic number, because the mean of its divisors is an integer number (44355600).

Almost surely, 2^3660451410 is an apocalyptic number.

3660451410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3660451410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677516800).

3660451410 is an abundant number, since it is smaller than the sum of its proper divisors (7694582190).

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

3660451410 is a wasteful number, since it uses less digits than its factorization.

3660451410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 3660451410 is about 60501.6645225567. The cubic root of 3660451410 is about 1541.1498987470.

The spelling of 3660451410 in words is "three billion, six hundred sixty million, four hundred fifty-one thousand, four hundred ten".