3413484672 has 512 divisors, whose sum is σ = 11412576000. Its totient is φ = 891813888.

The previous prime is 3413484667. The next prime is 3413484721. The reversal of 3413484672 is 2764843143.

Its product of digits (387072) is a multiple of the sum of its prime factors (168).

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, 46760028 + ... + 46760100.

Almost surely, 2^3413484672 is an apocalyptic number.

3413484672 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 3413484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706288000).

3413484672 is an abundant number, since it is smaller than the sum of its proper divisors (7999091328).

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

3413484672 is a wasteful number, since it uses less digits than its factorization.

3413484672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 3413484672 is about 58425.0346341361. The cubic root of 3413484672 is about 1505.6798982461.

The spelling of 3413484672 in words is "three billion, four hundred thirteen million, four hundred eighty-four thousand, six hundred seventy-two".