3650166374400 has 3240 divisors, whose sum is σ = 17321712006144. Its totient is φ = 745301606400.

The previous prime is 3650166374321. The next prime is 3650166374453. The reversal of 3650166374400 is 44736610563.

3650166374400 is a `hidden beast` number, since 3 + 6 + 5 + 0 + 1 + 6 + 637 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 117747302385 + ... + 117747302415.

Almost surely, 2^{3650166374400} is an apocalyptic number.

3650166374400 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 3650166374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8660856003072).

3650166374400 is an abundant number, since it is smaller than the sum of its proper divisors (13671545631744).

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

3650166374400 is an equidigital number, since it uses as much as digits as its factorization.

3650166374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3650166374400 in words is "three trillion, six hundred fifty billion, one hundred sixty-six million, three hundred seventy-four thousand, four hundred".