3058424640 has 168 divisors, whose sum is σ = 10584362880. Its totient is φ = 810568704.

The previous prime is 3058424639. The next prime is 3058424641. The reversal of 3058424640 is 464248503.

3058424640 is a `hidden beast` number, since 3 + 0 + 5 + 8 + 4 + 2 + 4 + 640 = 666.

3058424640 is digitally balanced in base 2 and base 4, because in such bases 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 (3058424639) and next prime (3058424641).

It is a super-2 number, since 2×3058424640² = 18707922557118259200, which contains 22 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 = 3058424595 and 3058424604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3058424641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477781 + ... + 484139.

It is an arithmetic number, because the mean of its divisors is an integer number (63002160).

Almost surely, 2^3058424640 is an apocalyptic number.

3058424640 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 3058424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292181440).

3058424640 is an abundant number, since it is smaller than the sum of its proper divisors (7525938240).

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

3058424640 is a wasteful number, since it uses less digits than its factorization.

3058424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6549 (or 6536 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3058424640 is about 55303.0255953506. The cubic root of 3058424640 is about 1451.5519870906.

The spelling of 3058424640 in words is "three billion, fifty-eight million, four hundred twenty-four thousand, six hundred forty".