3398544000 has 256 divisors, whose sum is σ = 12519561600. Its totient is φ = 906163200.

The previous prime is 3398543987. The next prime is 3398544031. The reversal of 3398544000 is 4458933.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428067 + ... + 435933.

Almost surely, 2^3398544000 is an apocalyptic number.

3398544000 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 3398544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259780800).

3398544000 is an abundant number, since it is smaller than the sum of its proper divisors (9121017600).

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

3398544000 is an equidigital number, since it uses as much as digits as its factorization.

3398544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7905 (or 7877 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3398544000 is about 58297.0325145286. The cubic root of 3398544000 is about 1503.4799205256.

The spelling of 3398544000 in words is "three billion, three hundred ninety-eight million, five hundred forty-four thousand".