3007213020 has 192 divisors, whose sum is σ = 10772213760. Its totient is φ = 682228224.

The previous prime is 3007213009. The next prime is 3007213031. The reversal of 3007213020 is 203127003.

It is an interprime number because it is at equal distance from previous prime (3007213009) and next prime (3007213031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3007212984 and 3007213002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 514957 + ... + 520763.

It is an arithmetic number, because the mean of its divisors is an integer number (56105280).

Almost surely, 2^3007213020 is an apocalyptic number.

3007213020 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 3007213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386106880).

3007213020 is an abundant number, since it is smaller than the sum of its proper divisors (7765000740).

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

3007213020 is a wasteful number, since it uses less digits than its factorization.

3007213020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5969 (or 5961 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 3007213020 is about 54838.0617819412. The cubic root of 3007213020 is about 1443.4045312724.

The spelling of 3007213020 in words is "three billion, seven million, two hundred thirteen thousand, twenty".