3104048640 has 640 divisors, whose sum is σ = 12869176320. Its totient is φ = 619315200.

The previous prime is 3104048599. The next prime is 3104048663. The reversal of 3104048640 is 468404013.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3104048598 and 3104048607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17149350 + ... + 17149530.

It is an arithmetic number, because the mean of its divisors is an integer number (20108088).

Almost surely, 2^3104048640 is an apocalyptic number.

3104048640 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 3104048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434588160).

3104048640 is an abundant number, since it is smaller than the sum of its proper divisors (9765127680).

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

3104048640 is a wasteful number, since it uses less digits than its factorization.

3104048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3104048640 is about 55713.9896255869. The cubic root of 3104048640 is about 1458.7342253794.

The spelling of 3104048640 in words is "three billion, one hundred four million, forty-eight thousand, six hundred forty".