3654442000 has 120 divisors (see below), whose sum is σ = 9713425176. Its totient is φ = 1328800000.

The previous prime is 3654441979. The next prime is 3654442003. The reversal of 3654442000 is 2444563.

It can be written as a sum of positive squares in 4 ways, for example, as 624600064 + 3029841936 = 24992^2 + 55044^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3654442000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3654442003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234450 + ... + 249550.

Almost surely, 2^3654442000 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 3654442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856712588).

3654442000 is an abundant number, since it is smaller than the sum of its proper divisors (6058983176).

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

3654442000 is a wasteful number, since it uses less digits than its factorization.

3654442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15146 (or 15119 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 3654442000 is about 60451.9809435555. The cubic root of 3654442000 is about 1540.3060616179.

Adding to 3654442000 its reverse (2444563), we get a palindrome (3656886563).

The spelling of 3654442000 in words is "three billion, six hundred fifty-four million, four hundred forty-two thousand".