3404643840 has 480 divisors, whose sum is σ = 13199842656. Its totient is φ = 836075520.

The previous prime is 3404643829. The next prime is 3404643871. The reversal of 3404643840 is 483464043.

3404643840 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 643 + 8 + 4 + 0 = 666.

3404643840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 3404643795 and 3404643804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8086830 + ... + 8087250.

Almost surely, 2^3404643840 is an apocalyptic number.

3404643840 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 3404643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599921328).

3404643840 is an abundant number, since it is smaller than the sum of its proper divisors (9795198816).

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

3404643840 is an equidigital number, since it uses as much as digits as its factorization.

3404643840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 3404643840 is about 58349.3259601171. The cubic root of 3404643840 is about 1504.3788844748.

The spelling of 3404643840 in words is "three billion, four hundred four million, six hundred forty-three thousand, eight hundred forty".