3068295840 has 288 divisors, whose sum is σ = 10719910656. Its totient is φ = 799027200.

The previous prime is 3068295817. The next prime is 3068295851. The reversal of 3068295840 is 485928603.

3068295840 is a `hidden beast` number, since 3 + 0 + 68 + 2 + 9 + 584 + 0 = 666.

3068295840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3068295840² = 18828878723522611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20319765 + ... + 20319915.

It is an arithmetic number, because the mean of its divisors is an integer number (37221912).

Almost surely, 2^3068295840 is an apocalyptic number.

3068295840 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 3068295840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359955328).

3068295840 is an abundant number, since it is smaller than the sum of its proper divisors (7651614816).

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

3068295840 is a wasteful number, since it uses less digits than its factorization.

3068295840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3068295840 is about 55392.2001729485. The cubic root of 3068295840 is about 1453.1119592864. Note that the first 3 decimals are identical.

The spelling of 3068295840 in words is "three billion, sixty-eight million, two hundred ninety-five thousand, eight hundred forty".