3624863040 has 168 divisors, whose sum is σ = 12533269320. Its totient is φ = 961572864.

The previous prime is 3624862991. The next prime is 3624863057. The reversal of 3624863040 is 403684263.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 271063296 + 3353799744 = 16464^2 + 57912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3624862986 and 3624863004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564166 + ... + 570554.

Almost surely, 2^3624863040 is an apocalyptic number.

3624863040 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 3624863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6266634660).

3624863040 is an abundant number, since it is smaller than the sum of its proper divisors (8908406280).

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

3624863040 is a wasteful number, since it uses less digits than its factorization.

3624863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6609 (or 6596 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3624863040 is about 60206.8354923260. The cubic root of 3624863040 is about 1536.1390661849.

The spelling of 3624863040 in words is "three billion, six hundred twenty-four million, eight hundred sixty-three thousand, forty".