3420918432 has 216 divisors, whose sum is σ = 10789492896. Its totient is φ = 1025992704.

The previous prime is 3420918427. The next prime is 3420918463. The reversal of 3420918432 is 2348190243.

3420918432 is a `hidden beast` number, since 3 + 4 + 209 + 18 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1913443 + ... + 1915229.

It is an arithmetic number, because the mean of its divisors is an integer number (49951356).

Almost surely, 2^3420918432 is an apocalyptic number.

3420918432 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 3420918432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5394746448).

3420918432 is an abundant number, since it is smaller than the sum of its proper divisors (7368574464).

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

3420918432 is a wasteful number, since it uses less digits than its factorization.

3420918432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3420918432 is about 58488.6179696529. The cubic root of 3420918432 is about 1506.7721103360.

The spelling of 3420918432 in words is "three billion, four hundred twenty million, nine hundred eighteen thousand, four hundred thirty-two".