3009455680 has 224 divisors, whose sum is σ = 9178820352. Its totient is φ = 912384000.

The previous prime is 3009455671. The next prime is 3009455689. The reversal of 3009455680 is 865549003.

It is an interprime number because it is at equal distance from previous prime (3009455671) and next prime (3009455689).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3009455689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910030 + ... + 913330.

Almost surely, 2^3009455680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3009455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589410176).

3009455680 is an abundant number, since it is smaller than the sum of its proper divisors (6169364672).

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

3009455680 is a wasteful number, since it uses less digits than its factorization.

3009455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 3009455680 is about 54858.5059949685. The cubic root of 3009455680 is about 1443.7632533656.

The spelling of 3009455680 in words is "three billion, nine million, four hundred fifty-five thousand, six hundred eighty".