3469705632 has 144 divisors (see below), whose sum is σ = 10426721760. Its totient is φ = 1134611712.

The previous prime is 3469705583. The next prime is 3469705639. The reversal of 3469705632 is 2365079643.

3469705632 is a `hidden beast` number, since 3 + 4 + 6 + 9 + 7 + 0 + 5 + 632 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3469705639) 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, 407919 + ... + 416337.

It is an arithmetic number, because the mean of its divisors is an integer number (72407790).

Almost surely, 2^3469705632 is an apocalyptic number.

3469705632 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 3469705632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213360880).

3469705632 is an abundant number, since it is smaller than the sum of its proper divisors (6957016128).

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

3469705632 is an equidigital number, since it uses as much as digits as its factorization.

3469705632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8497 (or 8477 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3469705632 is about 58904.2072521140. The cubic root of 3469705632 is about 1513.9012364413.

The spelling of 3469705632 in words is "three billion, four hundred sixty-nine million, seven hundred five thousand, six hundred thirty-two".