3315047040 has 512 divisors, whose sum is σ = 12925440000. Its totient is φ = 799248384.

The previous prime is 3315047009. The next prime is 3315047053. The reversal of 3315047040 is 407405133.

3315047040 is a `hidden beast` number, since 3 + 3 + 150 + 470 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3315046995 and 3315047013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7551141 + ... + 7551579.

It is an arithmetic number, because the mean of its divisors is an integer number (25245000).

Almost surely, 2^3315047040 is an apocalyptic number.

3315047040 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 3315047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462720000).

3315047040 is an abundant number, since it is smaller than the sum of its proper divisors (9610392960).

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

3315047040 is a wasteful number, since it uses less digits than its factorization.

3315047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3315047040 is about 57576.4451837729. The cubic root of 3315047040 is about 1491.0649624137.

The spelling of 3315047040 in words is "three billion, three hundred fifteen million, forty-seven thousand, forty".