3414233032020 has 384 divisors, whose sum is σ = 11025978163200. Its totient is φ = 876185164800.

The previous prime is 3414233032019. The next prime is 3414233032061. The reversal of 3414233032020 is 202303324143.

3414233032020 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 2 + 330 + 320 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3983935432 + ... + 3983936288.

It is an arithmetic number, because the mean of its divisors is an integer number (28713484800).

Almost surely, 2^{3414233032020} is an apocalyptic number.

3414233032020 is a gapful number since it is divisible by the number (30) 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 3414233032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5512989081600).

3414233032020 is an abundant number, since it is smaller than the sum of its proper divisors (7611745131180).

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

3414233032020 is a wasteful number, since it uses less digits than its factorization.

3414233032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 3414233032020 its reverse (202303324143), we get a palindrome (3616536356163).

The spelling of 3414233032020 in words is "three trillion, four hundred fourteen billion, two hundred thirty-three million, thirty-two thousand, twenty".