3405033632 has 384 divisors, whose sum is σ = 9845660160. Its totient is φ = 1121402880.

The previous prime is 3405033631. The next prime is 3405033659. The reversal of 3405033632 is 2363305043.

It is a super-2 number, since 2×3405033632² = 23188508070102222848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3405033595 and 3405033604.

It is not an unprimeable number, because it can be changed into a prime (3405033631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92027918 + ... + 92027954.

It is an arithmetic number, because the mean of its divisors is an integer number (25639740).

Almost surely, 2^3405033632 is an apocalyptic number.

3405033632 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 3405033632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922830080).

3405033632 is an abundant number, since it is smaller than the sum of its proper divisors (6440626528).

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

3405033632 is a wasteful number, since it uses less digits than its factorization.

3405033632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 29.

The square root of 3405033632 is about 58352.6660230704. Note that the first 3 decimals coincide. The cubic root of 3405033632 is about 1504.4362935612.

Adding to 3405033632 its reverse (2363305043), we get a palindrome (5768338675).

The spelling of 3405033632 in words is "three billion, four hundred five million, thirty-three thousand, six hundred thirty-two".