3059000640 has 504 divisors, whose sum is σ = 11518221312. Its totient is φ = 772623360.

The previous prime is 3059000617. The next prime is 3059000647. The reversal of 3059000640 is 460009503.

It is a happy number.

3059000640 is a `hidden beast` number, since 30 + 590 + 0 + 0 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3059000647) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 65085097 + ... + 65085143.

Almost surely, 2^3059000640 is an apocalyptic number.

3059000640 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 3059000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5759110656).

3059000640 is an abundant number, since it is smaller than the sum of its proper divisors (8459220672).

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

3059000640 is an frugal number, since it uses more digits than its factorization.

3059000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3059000640 is about 55308.2330218567. The cubic root of 3059000640 is about 1451.6431060555.

The spelling of 3059000640 in words is "three billion, fifty-nine million, six hundred forty", and thus it is an aban number.