3414420000 has 240 divisors, whose sum is σ = 12446390880. Its totient is φ = 910368000.

The previous prime is 3414419971. The next prime is 3414420049. The reversal of 3414420000 is 244143.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 536839 + ... + 543161.

It is an arithmetic number, because the mean of its divisors is an integer number (51859962).

Almost surely, 2^3414420000 is an apocalyptic number.

3414420000 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 3414420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6223195440).

3414420000 is an abundant number, since it is smaller than the sum of its proper divisors (9031970880).

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

3414420000 is an equidigital number, since it uses as much as digits as its factorization.

3414420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6362 (or 6333 counting only the distinct ones).

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

The square root of 3414420000 is about 58433.0385997511. The cubic root of 3414420000 is about 1505.8174093326.

Adding to 3414420000 its reverse (244143), we get a palindrome (3414664143).

The spelling of 3414420000 in words is "three billion, four hundred fourteen million, four hundred twenty thousand".