3643639381440 has 2240 divisors, whose sum is σ = 15167745331200. Its totient is φ = 824131584000.

The previous prime is 3643639381433. The next prime is 3643639381451. The reversal of 3643639381440 is 441839363463.

It is a happy number.

3643639381440 is a `hidden beast` number, since 3 + 6 + 4 + 36 + 3 + 93 + 81 + 440 = 666.

It is a super-2 number, since 2×3643639381440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 26213232891 + ... + 26213233029.

It is an arithmetic number, because the mean of its divisors is an integer number (6771314880).

Almost surely, 2^{3643639381440} is an apocalyptic number.

3643639381440 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 3643639381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7583872665600).

3643639381440 is an abundant number, since it is smaller than the sum of its proper divisors (11524105949760).

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

3643639381440 is a wasteful number, since it uses less digits than its factorization.

3643639381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 3643639381440 in words is "three trillion, six hundred forty-three billion, six hundred thirty-nine million, three hundred eighty-one thousand, four hundred forty".