3398598000 has 720 divisors, whose sum is σ = 14467687104. Its totient is φ = 755827200.

The previous prime is 3398597989. The next prime is 3398598011. The reversal of 3398598000 is 8958933.

3398598000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3398597989) and next prime (3398598011).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91853982 + ... + 91854018.

Almost surely, 2^3398598000 is an apocalyptic number.

3398598000 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 3398598000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7233843552).

3398598000 is an abundant number, since it is smaller than the sum of its proper divisors (11069089104).

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

3398598000 is an frugal number, since it uses more digits than its factorization.

3398598000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3398598000 is about 58297.4956580469. The cubic root of 3398598000 is about 1503.4878834930.

The spelling of 3398598000 in words is "three billion, three hundred ninety-eight million, five hundred ninety-eight thousand".