3084029760 has 224 divisors, whose sum is σ = 11224442880. Its totient is φ = 702793728.

The previous prime is 3084029731. The next prime is 3084029777. The reversal of 3084029760 is 679204803.

3084029760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×3084029760² = 19022479121131315200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3675421 + ... + 3676259.

It is an arithmetic number, because the mean of its divisors is an integer number (50109120).

Almost surely, 2^3084029760 is an apocalyptic number.

3084029760 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 3084029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5612221440).

3084029760 is an abundant number, since it is smaller than the sum of its proper divisors (8140413120).

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

3084029760 is a wasteful number, since it uses less digits than its factorization.

3084029760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 3084029760 is about 55534.0414520679. The cubic root of 3084029760 is about 1455.5915309520.

The spelling of 3084029760 in words is "three billion, eighty-four million, twenty-nine thousand, seven hundred sixty".