3304679040 has 512 divisors, whose sum is σ = 12913689600. Its totient is φ = 793608192.

The previous prime is 3304679039. The next prime is 3304679069. The reversal of 3304679040 is 409764033.

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

It is a junction number, because it is equal to n+sod(n) for n = 3304678986 and 3304679004.

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, 10557924 + ... + 10558236.

It is an arithmetic number, because the mean of its divisors is an integer number (25222050).

Almost surely, 2^3304679040 is an apocalyptic number.

3304679040 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 3304679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6456844800).

3304679040 is an abundant number, since it is smaller than the sum of its proper divisors (9609010560).

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

3304679040 is a wasteful number, since it uses less digits than its factorization.

3304679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3304679040 is about 57486.3378551809. The cubic root of 3304679040 is about 1489.5088752667.

The spelling of 3304679040 in words is "three billion, three hundred four million, six hundred seventy-nine thousand, forty".