3009652866360 has 1024 divisors, whose sum is σ = 12212909568000. Its totient is φ = 643987169280.

The previous prime is 3009652866359. The next prime is 3009652866377. The reversal of 3009652866360 is 636682569003.

It is a super-4 number, since 4×3009652866360⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3009652866297 and 3009652866306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7148818950 + ... + 7148819370.

It is an arithmetic number, because the mean of its divisors is an integer number (11926669500).

Almost surely, 2^{3009652866360} is an apocalyptic number.

3009652866360 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 3009652866360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106454784000).

3009652866360 is an abundant number, since it is smaller than the sum of its proper divisors (9203256701640).

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

3009652866360 is a wasteful number, since it uses less digits than its factorization.

3009652866360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 3009652866360 in words is "three trillion, nine billion, six hundred fifty-two million, eight hundred sixty-six thousand, three hundred sixty".