3398423040 has 320 divisors, whose sum is σ = 12240645120. Its totient is φ = 904753152.

The previous prime is 3398422987. The next prime is 3398423057. The reversal of 3398423040 is 403248933.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 3398422986 and 3398423004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5598417 + ... + 5599023.

It is an arithmetic number, because the mean of its divisors is an integer number (38252016).

Almost surely, 2^3398423040 is an apocalyptic number.

3398423040 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 3398423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120322560).

3398423040 is an abundant number, since it is smaller than the sum of its proper divisors (8842222080).

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

3398423040 is an frugal number, since it uses more digits than its factorization.

3398423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3398423040 is about 58295.9950596951. The cubic root of 3398423040 is about 1503.4620831724.

The spelling of 3398423040 in words is "three billion, three hundred ninety-eight million, four hundred twenty-three thousand, forty".