3315712400 has 480 divisors, whose sum is σ = 10978464000. Its totient is φ = 953971200.

The previous prime is 3315712399. The next prime is 3315712403. The reversal of 3315712400 is 42175133.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3315712400.

It is not an unprimeable number, because it can be changed into a prime (3315712403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255054794 + ... + 255054806.

It is an arithmetic number, because the mean of its divisors is an integer number (22871800).

Almost surely, 2^3315712400 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 3315712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489232000).

3315712400 is an abundant number, since it is smaller than the sum of its proper divisors (7662751600).

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

3315712400 is a wasteful number, since it uses less digits than its factorization.

3315712400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 3315712400 is about 57582.2229511852. Note that the first 3 decimals coincide. The cubic root of 3315712400 is about 1491.1647124932.

Adding to 3315712400 its reverse (42175133), we get a palindrome (3357887533).

The spelling of 3315712400 in words is "three billion, three hundred fifteen million, seven hundred twelve thousand, four hundred".