3643836480 has 168 divisors, whose sum is σ = 12558272064. Its totient is φ = 969753600.

The previous prime is 3643836431. The next prime is 3643836481. The reversal of 3643836480 is 846383463.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643836481) 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, 1989165 + ... + 1990995.

Almost surely, 2^3643836480 is an apocalyptic number.

3643836480 is a gapful number since it is divisible by the number (30) 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 3643836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279136032).

3643836480 is an abundant number, since it is smaller than the sum of its proper divisors (8914435584).

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

3643836480 is a wasteful number, since it uses less digits than its factorization.

3643836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 3643836480 is about 60364.1986611269. The cubic root of 3643836480 is about 1538.8145822189.

The spelling of 3643836480 in words is "three billion, six hundred forty-three million, eight hundred thirty-six thousand, four hundred eighty".