3649324000 has 288 divisors, whose sum is σ = 10697502816. Its totient is φ = 1219276800.

The previous prime is 3649323973. The next prime is 3649324051. The reversal of 3649324000 is 4239463.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8427784 + ... + 8428216.

It is an arithmetic number, because the mean of its divisors is an integer number (37144107).

Almost surely, 2^3649324000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3649324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348751408).

3649324000 is an abundant number, since it is smaller than the sum of its proper divisors (7048178816).

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

3649324000 is a wasteful number, since it uses less digits than its factorization.

3649324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 3649324000 is about 60409.6349931035. The cubic root of 3649324000 is about 1539.5866659311.

The spelling of 3649324000 in words is "three billion, six hundred forty-nine million, three hundred twenty-four thousand".