3639504960 has 560 divisors, whose sum is σ = 15944307456. Its totient is φ = 767397888.

The previous prime is 3639504949. The next prime is 3639504977. The reversal of 3639504960 is 694059363.

It is a happy number.

3639504960 is a `hidden beast` number, since 3 + 639 + 5 + 0 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2357949 + ... + 2359491.

Almost surely, 2^3639504960 is an apocalyptic number.

3639504960 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 3639504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7972153728).

3639504960 is an abundant number, since it is smaller than the sum of its proper divisors (12304802496).

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

3639504960 is a wasteful number, since it uses less digits than its factorization.

3639504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 3639504960 is about 60328.3097724443. The cubic root of 3639504960 is about 1538.2045979314.

It can be divided in two parts, 3639504 and 960, that added together give a square (3640464 = 1908²).

The spelling of 3639504960 in words is "three billion, six hundred thirty-nine million, five hundred four thousand, nine hundred sixty".