3640400000 has 192 divisors, whose sum is σ = 9561888000. Its totient is φ = 1376640000.

The previous prime is 3640399999. The next prime is 3640400011. The reversal of 3640400000 is 40463.

It is a super-3 number, since 3×3640400000³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7599761 + ... + 7600239.

It is an arithmetic number, because the mean of its divisors is an integer number (49801500).

Almost surely, 2^3640400000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780944000).

3640400000 is an abundant number, since it is smaller than the sum of its proper divisors (5921488000).

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

3640400000 is an frugal number, since it uses more digits than its factorization.

3640400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3640400000 is about 60335.7273926485. The cubic root of 3640400000 is about 1538.3306811776.

Adding to 3640400000 its reverse (40463), we get a palindrome (3640440463).

The spelling of 3640400000 in words is "three billion, six hundred forty million, four hundred thousand".