3398236800 has 384 divisors, whose sum is σ = 13017321600. Its totient is φ = 763084800.

The previous prime is 3398236799. The next prime is 3398236837. The reversal of 3398236800 is 86328933.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4098786 + ... + 4099614.

It is an arithmetic number, because the mean of its divisors is an integer number (33899275).

Almost surely, 2^3398236800 is an apocalyptic number.

3398236800 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 3398236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508660800).

3398236800 is an abundant number, since it is smaller than the sum of its proper divisors (9619084800).

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

3398236800 is a wasteful number, since it uses less digits than its factorization.

3398236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 3398236800 is about 58294.3976725037. The cubic root of 3398236800 is about 1503.4346184836.

The spelling of 3398236800 in words is "three billion, three hundred ninety-eight million, two hundred thirty-six thousand, eight hundred".