3564099840 has 288 divisors, whose sum is σ = 13209799680. Its totient is φ = 802086912.

The previous prime is 3564099823. The next prime is 3564099841. The reversal of 3564099840 is 489904653.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3564099840.

It is not an unprimeable number, because it can be changed into a prime (3564099841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1799971 + ... + 1801949.

It is an arithmetic number, because the mean of its divisors is an integer number (45867360).

Almost surely, 2^3564099840 is an apocalyptic number.

3564099840 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 3564099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604899840).

3564099840 is an abundant number, since it is smaller than the sum of its proper divisors (9645699840).

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

3564099840 is a wasteful number, since it uses less digits than its factorization.

3564099840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 3564099840 is about 59700.0824120034. The cubic root of 3564099840 is about 1527.5072742235.

The spelling of 3564099840 in words is "three billion, five hundred sixty-four million, ninety-nine thousand, eight hundred forty".