3315997440 has 432 divisors, whose sum is σ = 13606564608. Its totient is φ = 757444608.

The previous prime is 3315997397. The next prime is 3315997453. The reversal of 3315997440 is 447995133.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2176519 + ... + 2178041.

Almost surely, 2^3315997440 is an apocalyptic number.

3315997440 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 3315997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6803282304).

3315997440 is an abundant number, since it is smaller than the sum of its proper divisors (10290567168).

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

3315997440 is an equidigital number, since it uses as much as digits as its factorization.

3315997440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3315997440 is about 57584.6979674288. The cubic root of 3315997440 is about 1491.2074413107.

The spelling of 3315997440 in words is "three billion, three hundred fifteen million, nine hundred ninety-seven thousand, four hundred forty".