3005735040 has 768 divisors, whose sum is σ = 13473008640. Its totient is φ = 622080000.

The previous prime is 3005735021. The next prime is 3005735063. The reversal of 3005735040 is 405375003.

It is a happy number.

3005735040 is a `hidden beast` number, since 3 + 0 + 0 + 573 + 50 + 40 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 = 3005734995 and 3005735013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11974915 + ... + 11975165.

It is an arithmetic number, because the mean of its divisors is an integer number (17542980).

Almost surely, 2^3005735040 is an apocalyptic number.

3005735040 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 3005735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736504320).

3005735040 is an abundant number, since it is smaller than the sum of its proper divisors (10467273600).

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

3005735040 is a wasteful number, since it uses less digits than its factorization.

3005735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 3005735040 is about 54824.5842665496. The cubic root of 3005735040 is about 1443.1680251781.

The spelling of 3005735040 in words is "three billion, five million, seven hundred thirty-five thousand, forty".