3640444080 has 640 divisors, whose sum is σ = 15145697280. Its totient is φ = 701706240.

The previous prime is 3640444069. The next prime is 3640444091. The reversal of 3640444080 is 804440463.

3640444080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3640444069) and next prime (3640444091).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12863619 + ... + 12863901.

It is an arithmetic number, because the mean of its divisors is an integer number (23665152).

Almost surely, 2^3640444080 is an apocalyptic number.

3640444080 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 3640444080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7572848640).

3640444080 is an abundant number, since it is smaller than the sum of its proper divisors (11505253200).

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

3640444080 is a wasteful number, since it uses less digits than its factorization.

3640444080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 3640444080 is about 60336.0926809153. The cubic root of 3640444080 is about 1538.3368901421.

The spelling of 3640444080 in words is "three billion, six hundred forty million, four hundred forty-four thousand, eighty".