3085040640 has 528 divisors, whose sum is σ = 11708184960. Its totient is φ = 685670400.

The previous prime is 3085040639. The next prime is 3085040641. The reversal of 3085040640 is 460405803.

3085040640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3085040639) and next prime (3085040641).

It is a tau number, because it is divible by the number of its divisors (528).

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 = 3085040598 and 3085040607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3085040641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99517425 + ... + 99517455.

Almost surely, 2^3085040640 is an apocalyptic number.

3085040640 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 3085040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854092480).

3085040640 is an abundant number, since it is smaller than the sum of its proper divisors (8623144320).

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

3085040640 is a wasteful number, since it uses less digits than its factorization.

3085040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3085040640 is about 55543.1421509443. The cubic root of 3085040640 is about 1455.7505509942.

The spelling of 3085040640 in words is "three billion, eighty-five million, forty thousand, six hundred forty".