3641004380160 has 1872 divisors, whose sum is σ = 15476665152000. Its totient is φ = 821695021056.

The previous prime is 3641004380159. The next prime is 3641004380183. The reversal of 3641004380160 is 610834001463.

It is a happy number.

3641004380160 is a `hidden beast` number, since 3 + 6 + 410 + 0 + 4 + 3 + 80 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 46088663001 + ... + 46088663079.

Almost surely, 2^{3641004380160} is an apocalyptic number.

3641004380160 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 3641004380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7738332576000).

3641004380160 is an abundant number, since it is smaller than the sum of its proper divisors (11835660771840).

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

3641004380160 is an frugal number, since it uses more digits than its factorization.

3641004380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3641004380160 in words is "three trillion, six hundred forty-one billion, four million, three hundred eighty thousand, one hundred sixty".