3384003420 has 336 divisors, whose sum is σ = 12374788608. Its totient is φ = 760959360.

The previous prime is 3384003419. The next prime is 3384003433. The reversal of 3384003420 is 243004833.

It is a super-2 number, since 2×3384003420² = 22902958293143392800, which contains 22 as substring.

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7246027 + ... + 7246493.

It is an arithmetic number, because the mean of its divisors is an integer number (36829728).

Almost surely, 2^3384003420 is an apocalyptic number.

3384003420 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 3384003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187394304).

3384003420 is an abundant number, since it is smaller than the sum of its proper divisors (8990785188).

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

3384003420 is a wasteful number, since it uses less digits than its factorization.

3384003420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3384003420 is about 58172.1876844940. The cubic root of 3384003420 is about 1501.3326556686.

The spelling of 3384003420 in words is "three billion, three hundred eighty-four million, three thousand, four hundred twenty".