3408853536 has 144 divisors (see below), whose sum is σ = 11131979040. Its totient is φ = 978600960.

The previous prime is 3408853531. The next prime is 3408853541. The reversal of 3408853536 is 6353588043.

3408853536 is a `hidden beast` number, since 3 + 4 + 0 + 88 + 535 + 36 = 666.

3408853536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3408853531) and next prime (3408853541).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3408853491 and 3408853500.

It is not an unprimeable number, because it can be changed into a prime (3408853531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31876 + ... + 88508.

It is an arithmetic number, because the mean of its divisors is an integer number (77305410).

Almost surely, 2^3408853536 is an apocalyptic number.

3408853536 is a gapful number since it is divisible by the number (36) 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 3408853536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5565989520).

3408853536 is an abundant number, since it is smaller than the sum of its proper divisors (7723125504).

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

3408853536 is a wasteful number, since it uses less digits than its factorization.

3408853536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56679 (or 56668 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 3408853536 is about 58385.3880350212. The cubic root of 3408853536 is about 1504.9986624124.

The spelling of 3408853536 in words is "three billion, four hundred eight million, eight hundred fifty-three thousand, five hundred thirty-six".