3413673984 has 576 divisors, whose sum is σ = 12100233600. Its totient is φ = 847773696.

The previous prime is 3413673973. The next prime is 3413673997. The reversal of 3413673984 is 4893763143.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1306368) is a multiple of the sum of its prime divisors (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117712882 + ... + 117712910.

It is an arithmetic number, because the mean of its divisors is an integer number (21007350).

Almost surely, 2^3413673984 is an apocalyptic number.

3413673984 is a gapful number since it is divisible by the number (34) 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 3413673984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6050116800).

3413673984 is an abundant number, since it is smaller than the sum of its proper divisors (8686559616).

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

3413673984 is a wasteful number, since it uses less digits than its factorization.

3413673984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 3413673984 is about 58426.6547390829. The cubic root of 3413673984 is about 1505.7077327545.

The spelling of 3413673984 in words is "three billion, four hundred thirteen million, six hundred seventy-three thousand, nine hundred eighty-four".