3398784840 has 256 divisors, whose sum is σ = 13087008000. Its totient is φ = 775434240.

The previous prime is 3398784811. The next prime is 3398784841. The reversal of 3398784840 is 484878933.

3398784840 is a `hidden beast` number, since 3 + 3 + 98 + 78 + 484 + 0 = 666.

It is a super-2 number, since 2×3398784840² = 23103476777227651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3398784841) 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, 193546 + ... + 210374.

It is an arithmetic number, because the mean of its divisors is an integer number (51121125).

Almost surely, 2^3398784840 is an apocalyptic number.

3398784840 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 3398784840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6543504000).

3398784840 is an abundant number, since it is smaller than the sum of its proper divisors (9688223160).

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

3398784840 is a wasteful number, since it uses less digits than its factorization.

3398784840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16877 (or 16867 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 3398784840 is about 58299.0981062315. The cubic root of 3398784840 is about 1503.5154347096.

The spelling of 3398784840 in words is "three billion, three hundred ninety-eight million, seven hundred eighty-four thousand, eight hundred forty".