3646438160 has 40 divisors (see below), whose sum is σ = 8637940440. Its totient is φ = 1431053312.

The previous prime is 3646438157. The next prime is 3646438199. The reversal of 3646438160 is 618346463.

It can be written as a sum of positive squares in 4 ways, for example, as 676624144 + 2969814016 = 26012^2 + 54496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3646438160² = 26593022509408371200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 425765 + ... + 434244.

It is an arithmetic number, because the mean of its divisors is an integer number (215948511).

Almost surely, 2^3646438160 is an apocalyptic number.

It is an amenable number.

3646438160 is an abundant number, since it is smaller than the sum of its proper divisors (4991502280).

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

3646438160 is a wasteful number, since it uses less digits than its factorization.

3646438160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860075 (or 860069 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The square root of 3646438160 is about 60385.7446753785. The cubic root of 3646438160 is about 1539.1807302514.

The spelling of 3646438160 in words is "three billion, six hundred forty-six million, four hundred thirty-eight thousand, one hundred sixty".