3644161646160 has 240 divisors, whose sum is σ = 13142893640256. Its totient is φ = 832849790976.

The previous prime is 3644161646113. The next prime is 3644161646219. The reversal of 3644161646160 is 616461614463.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3644161646160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141965647 + ... + 141991313.

Almost surely, 2^{3644161646160} is an apocalyptic number.

3644161646160 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 3644161646160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6571446820128).

3644161646160 is an abundant number, since it is smaller than the sum of its proper divisors (9498731994096).

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

3644161646160 is a wasteful number, since it uses less digits than its factorization.

3644161646160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37770 (or 37757 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 3644161646160 in words is "three trillion, six hundred forty-four billion, one hundred sixty-one million, six hundred forty-six thousand, one hundred sixty".