3405581632 has 56 divisors (see below), whose sum is σ = 7060338432. Its totient is φ = 1627929600.

The previous prime is 3405581623. The next prime is 3405581651. The reversal of 3405581632 is 2361855043.

It is a junction number, because it is equal to n+sod(n) for n = 3405581591 and 3405581600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154332 + ... + 175012.

It is an arithmetic number, because the mean of its divisors is an integer number (126077472).

Almost surely, 2^3405581632 is an apocalyptic number.

3405581632 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 3405581632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530169216).

3405581632 is an abundant number, since it is smaller than the sum of its proper divisors (3654756800).

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

3405581632 is a wasteful number, since it uses less digits than its factorization.

3405581632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20807 (or 20797 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 3405581632 is about 58357.3614208182. The cubic root of 3405581632 is about 1504.5169963241.

The spelling of 3405581632 in words is "three billion, four hundred five million, five hundred eighty-one thousand, six hundred thirty-two".