3643282734336 has 1152 divisors, whose sum is σ = 13231580544000. Its totient is φ = 987126497280.

The previous prime is 3643282734313. The next prime is 3643282734347. The reversal of 3643282734336 is 6334372823463.

3643282734336 is a `hidden beast` number, since 3 + 6 + 4 + 32 + 8 + 273 + 4 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3596527366 + ... + 3596528378.

It is an arithmetic number, because the mean of its divisors is an integer number (11485747000).

Almost surely, 2^{3643282734336} is an apocalyptic number.

3643282734336 is a gapful number since it is divisible by the number (36) 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 3643282734336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6615790272000).

3643282734336 is an abundant number, since it is smaller than the sum of its proper divisors (9588297809664).

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

3643282734336 is a wasteful number, since it uses less digits than its factorization.

3643282734336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1103 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 54.

The spelling of 3643282734336 in words is "three trillion, six hundred forty-three billion, two hundred eighty-two million, seven hundred thirty-four thousand, three hundred thirty-six".