3315743040 has 112 divisors (see below), whose sum is σ = 10630009728. Its totient is φ = 875587584.

The previous prime is 3315743033. The next prime is 3315743063. The reversal of 3315743040 is 403475133.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3315742989 and 3315743007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82114 + ... + 115646.

Almost surely, 2^3315743040 is an apocalyptic number.

3315743040 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 3315743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5315004864).

3315743040 is an abundant number, since it is smaller than the sum of its proper divisors (7314266688).

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

3315743040 is a wasteful number, since it uses less digits than its factorization.

3315743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33656 (or 33646 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 3315743040 is about 57582.4890049050. The cubic root of 3315743040 is about 1491.1693056887.

The spelling of 3315743040 in words is "three billion, three hundred fifteen million, seven hundred forty-three thousand, forty".