3623985408 has 144 divisors (see below), whose sum is σ = 10025672832. Its totient is φ = 1161216000.

The previous prime is 3623985403. The next prime is 3623985427. The reversal of 3623985408 is 8045893263.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3623985401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2234838 + ... + 2236458.

It is an arithmetic number, because the mean of its divisors is an integer number (69622728).

Almost surely, 2^3623985408 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 3623985408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012836416).

3623985408 is an abundant number, since it is smaller than the sum of its proper divisors (6401687424).

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

3623985408 is a wasteful number, since it uses less digits than its factorization.

3623985408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 3623985408 is about 60199.5465763655. The cubic root of 3623985408 is about 1536.0150823172.

The spelling of 3623985408 in words is "three billion, six hundred twenty-three million, nine hundred eighty-five thousand, four hundred eight".