3414220032 has 72 divisors (see below), whose sum is σ = 9106755840. Its totient is φ = 1135575040.

The previous prime is 3414220031. The next prime is 3414220087. The reversal of 3414220032 is 2300224143.

It is a junction number, because it is equal to n+sod(n) for n = 3414219990 and 3414220008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414220031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 363232 + ... + 372512.

It is an arithmetic number, because the mean of its divisors is an integer number (126482720).

Almost surely, 2^3414220032 is an apocalyptic number.

3414220032 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 3414220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553377920).

3414220032 is an abundant number, since it is smaller than the sum of its proper divisors (5692535808).

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

3414220032 is an equidigital number, since it uses as much as digits as its factorization.

3414220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9779 (or 9765 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3414220032 is about 58431.3274879152. The cubic root of 3414220032 is about 1505.7880123267.

Adding to 3414220032 its reverse (2300224143), we get a palindrome (5714444175).

It can be divided in two parts, 3414 and 220032, that added together give a triangular number (223446 = T₆₆₈).

The spelling of 3414220032 in words is "three billion, four hundred fourteen million, two hundred twenty thousand, thirty-two".