3315155040 has 480 divisors, whose sum is σ = 12724677504. Its totient is φ = 809533440.

The previous prime is 3315155029. The next prime is 3315155099. The reversal of 3315155040 is 405515133.

3315155040 is a `hidden beast` number, since 3 + 3 + 151 + 5 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 3315154995 and 3315155013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9032937 + ... + 9033303.

Almost surely, 2^3315155040 is an apocalyptic number.

3315155040 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 3315155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6362338752).

3315155040 is an abundant number, since it is smaller than the sum of its proper divisors (9409522464).

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

3315155040 is a wasteful number, since it uses less digits than its factorization.

3315155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 3315155040 is about 57577.3830596702. The cubic root of 3315155040 is about 1491.0811545688.

The spelling of 3315155040 in words is "three billion, three hundred fifteen million, one hundred fifty-five thousand, forty".