3069607680 has 432 divisors, whose sum is σ = 11155775904. Its totient is φ = 778567680.

The previous prime is 3069607661. The next prime is 3069607699. The reversal of 3069607680 is 867069603.

3069607680 is a `hidden beast` number, since 30 + 6 + 9 + 607 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3069607661) and next prime (3069607699).

It is a super-2 number, since 2×3069607680² = 18844982618229964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31645392 + ... + 31645488.

Almost surely, 2^3069607680 is an apocalyptic number.

3069607680 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 3069607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5577887952).

3069607680 is an abundant number, since it is smaller than the sum of its proper divisors (8086168224).

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

3069607680 is a wasteful number, since it uses less digits than its factorization.

3069607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3069607680 is about 55404.0402858853. The cubic root of 3069607680 is about 1453.3190208917.

The spelling of 3069607680 in words is "three billion, sixty-nine million, six hundred seven thousand, six hundred eighty".