3405072384 has 384 divisors, whose sum is σ = 12160512000. Its totient is φ = 919683072.

The previous prime is 3405072379. The next prime is 3405072529. The reversal of 3405072384 is 4832705043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 7354137 + ... + 7354599.

It is an arithmetic number, because the mean of its divisors is an integer number (31668000).

Almost surely, 2^3405072384 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 3405072384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080256000).

3405072384 is an abundant number, since it is smaller than the sum of its proper divisors (8755439616).

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

3405072384 is a wasteful number, since it uses less digits than its factorization.

3405072384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3405072384 is about 58352.9980720785. The cubic root of 3405072384 is about 1504.4420007681.

The spelling of 3405072384 in words is "three billion, four hundred five million, seventy-two thousand, three hundred eighty-four".