3634981344 has 72 divisors (see below), whose sum is σ = 10945050480. Its totient is φ = 1140384768.

The previous prime is 3634981313. The next prime is 3634981381. The reversal of 3634981344 is 4431894363.

3634981344 is a `hidden beast` number, since 3 + 634 + 9 + 8 + 1 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3634981344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366324 + ... + 376115.

It is an arithmetic number, because the mean of its divisors is an integer number (152014590).

Almost surely, 2^3634981344 is an apocalyptic number.

3634981344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3634981344 is an abundant number, since it is smaller than the sum of its proper divisors (7310069136).

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

3634981344 is a wasteful number, since it uses less digits than its factorization.

3634981344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742472 (or 742461 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 3634981344 is about 60290.8064633407. The cubic root of 3634981344 is about 1537.5670449447.

The spelling of 3634981344 in words is "three billion, six hundred thirty-four million, nine hundred eighty-one thousand, three hundred forty-four".