3639738240 has 320 divisors, whose sum is σ = 13222725120. Its totient is φ = 953856000.

The previous prime is 3639738197. The next prime is 3639738253. The reversal of 3639738240 is 428379363.

3639738240 is a `hidden beast` number, since 3 + 639 + 7 + 3 + 8 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3161665 + ... + 3162815.

It is an arithmetic number, because the mean of its divisors is an integer number (41321016).

Almost surely, 2^3639738240 is an apocalyptic number.

3639738240 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 3639738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6611362560).

3639738240 is an abundant number, since it is smaller than the sum of its proper divisors (9582986880).

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

3639738240 is a wasteful number, since it uses less digits than its factorization.

3639738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3639738240 is about 60330.2431621156. The cubic root of 3639738240 is about 1538.2374618059.

The spelling of 3639738240 in words is "three billion, six hundred thirty-nine million, seven hundred thirty-eight thousand, two hundred forty".