3404115072 has 168 divisors, whose sum is σ = 10221315195. Its totient is φ = 1128764160.

The previous prime is 3404115061. The next prime is 3404115073. The reversal of 3404115072 is 2705114043.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1702057536 + 1702057536 = 41256^2 + 41256^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=41256.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3404115073) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 17822497 + ... + 17822687.

Almost surely, 2^3404115072 is an apocalyptic number.

3404115072 is a gapful number since it is divisible by the number (32) 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 3404115072

3404115072 is an abundant number, since it is smaller than the sum of its proper divisors (6817200123).

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

3404115072 is an frugal number, since it uses more digits than its factorization.

3404115072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3404115072 is about 58344.7947292644. The cubic root of 3404115072 is about 1504.3009998134.

The spelling of 3404115072 in words is "three billion, four hundred four million, one hundred fifteen thousand, seventy-two".