3420414000 has 320 divisors, whose sum is σ = 12397956480. Its totient is φ = 901324800.

The previous prime is 3420413959. The next prime is 3420414001. The reversal of 3420414000 is 4140243.

3420414000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3420414001) 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, 5237674 + ... + 5238326.

It is an arithmetic number, because the mean of its divisors is an integer number (38743614).

Almost surely, 2^3420414000 is an apocalyptic number.

3420414000 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 3420414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6198978240).

3420414000 is an abundant number, since it is smaller than the sum of its proper divisors (8977542480).

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

3420414000 is a wasteful number, since it uses less digits than its factorization.

3420414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3420414000 is about 58484.3055870547. The cubic root of 3420414000 is about 1506.6980462656.

Adding to 3420414000 its reverse (4140243), we get a palindrome (3424554243).

The spelling of 3420414000 in words is "three billion, four hundred twenty million, four hundred fourteen thousand".