3662012160 has 576 divisors, whose sum is σ = 14410690560. Its totient is φ = 875888640.

The previous prime is 3662012141. The next prime is 3662012161. The reversal of 3662012160 is 612102663.

3662012160 is a `hidden beast` number, since 36 + 620 + 1 + 2 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3662012161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13512825 + ... + 13513095.

It is an arithmetic number, because the mean of its divisors is an integer number (25018560).

Almost surely, 2^3662012160 is an apocalyptic number.

3662012160 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 3662012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7205345280).

3662012160 is an abundant number, since it is smaller than the sum of its proper divisors (10748678400).

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

3662012160 is a wasteful number, since it uses less digits than its factorization.

3662012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3662012160 is about 60514.5615533980. The cubic root of 3662012160 is about 1541.3689070651.

The spelling of 3662012160 in words is "three billion, six hundred sixty-two million, twelve thousand, one hundred sixty".