3084457040 has 160 divisors (see below), whose sum is σ = 8386606080. Its totient is φ = 1033224192.

The previous prime is 3084457031. The next prime is 3084457049. The reversal of 3084457040 is 407544803.

It is an interprime number because it is at equal distance from previous prime (3084457031) and next prime (3084457049).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3084457049) 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, 4998812 + ... + 4999428.

It is an arithmetic number, because the mean of its divisors is an integer number (52416288).

Almost surely, 2^3084457040 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 3084457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193303040).

3084457040 is an abundant number, since it is smaller than the sum of its proper divisors (5302149040).

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

3084457040 is a wasteful number, since it uses less digits than its factorization.

3084457040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 3084457040 is about 55537.8883285996. Note that the first 3 decimals coincide. The cubic root of 3084457040 is about 1455.6587499779.

The spelling of 3084457040 in words is "three billion, eighty-four million, four hundred fifty-seven thousand, forty".