3046256640 has 416 divisors, whose sum is σ = 12392655360. Its totient is φ = 695402496.

The previous prime is 3046256627. The next prime is 3046256641. The reversal of 3046256640 is 466526403.

3046256640 is a `hidden beast` number, since 3 + 0 + 4 + 6 + 2 + 5 + 6 + 640 = 666.

It is a super-4 number, since 4×3046256640⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3046256595 and 3046256604.

It is not an unprimeable number, because it can be changed into a prime (3046256641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3870327 + ... + 3871113.

Almost surely, 2^3046256640 is an apocalyptic number.

3046256640 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 3046256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6196327680).

3046256640 is an abundant number, since it is smaller than the sum of its proper divisors (9346398720).

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

3046256640 is an equidigital number, since it uses as much as digits as its factorization.

3046256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3046256640 is about 55192.9038917142. The cubic root of 3046256640 is about 1449.6244195702.

The spelling of 3046256640 in words is "three billion, forty-six million, two hundred fifty-six thousand, six hundred forty".