3029460480 has 320 divisors, whose sum is σ = 11033668800. Its totient is φ = 787415040.

The previous prime is 3029460407. The next prime is 3029460481. The reversal of 3029460480 is 840649203.

It is a happy number.

3029460480 is a `hidden beast` number, since 30 + 2 + 94 + 60 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3029460481) 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, 2833386 + ... + 2834454.

It is an arithmetic number, because the mean of its divisors is an integer number (34480215).

Almost surely, 2^3029460480 is an apocalyptic number.

3029460480 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 3029460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5516834400).

3029460480 is an abundant number, since it is smaller than the sum of its proper divisors (8004208320).

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

3029460480 is a wasteful number, since it uses less digits than its factorization.

3029460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3029460480 is about 55040.5348811219. The cubic root of 3029460480 is about 1446.9552407922.

The spelling of 3029460480 in words is "three billion, twenty-nine million, four hundred sixty thousand, four hundred eighty".