3315200040 has 192 divisors, whose sum is σ = 10979841600. Its totient is φ = 867373056.

The previous prime is 3315200023. The next prime is 3315200051. The reversal of 3315200040 is 400025133.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3315199986 and 3315200022.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4853539 + ... + 4854221.

It is an arithmetic number, because the mean of its divisors is an integer number (57186675).

Almost surely, 2^3315200040 is an apocalyptic number.

3315200040 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 3315200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489920800).

3315200040 is an abundant number, since it is smaller than the sum of its proper divisors (7664641560).

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

3315200040 is a wasteful number, since it uses less digits than its factorization.

3315200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3315200040 is about 57577.7738367853. The cubic root of 3315200040 is about 1491.0879011963.

Adding to 3315200040 its reverse (400025133), we get a palindrome (3715225173).

The spelling of 3315200040 in words is "three billion, three hundred fifteen million, two hundred thousand, forty".