3398451840 has 288 divisors, whose sum is σ = 13652376660. Its totient is φ = 776724480.

The previous prime is 3398451839. The next prime is 3398451851. The reversal of 3398451840 is 481548933.

3398451840 is a `hidden beast` number, since 3 + 3 + 98 + 4 + 518 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3398423616 + 28224 = 58296^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 276220 + ... + 288260.

Almost surely, 2^3398451840 is an apocalyptic number.

3398451840 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 3398451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6826188330).

3398451840 is an abundant number, since it is smaller than the sum of its proper divisors (10253924820).

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

3398451840 is a wasteful number, since it uses less digits than its factorization.

3398451840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12080 (or 12058 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3398451840 is about 58296.2420744253. The cubic root of 3398451840 is about 1503.4663301997.

The spelling of 3398451840 in words is "three billion, three hundred ninety-eight million, four hundred fifty-one thousand, eight hundred forty".