3398901000 has 256 divisors, whose sum is σ = 11674091520. Its totient is φ = 816480000.

The previous prime is 3398900983. The next prime is 3398901031. The reversal of 3398901000 is 1098933.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4190595 + ... + 4191405.

It is an arithmetic number, because the mean of its divisors is an integer number (45601920).

Almost surely, 2^3398901000 is an apocalyptic number.

3398901000 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 3398901000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837045760).

3398901000 is an abundant number, since it is smaller than the sum of its proper divisors (8275190520).

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

3398901000 is a wasteful number, since it uses less digits than its factorization.

3398901000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 3398901000 is about 58300.0943395463. The cubic root of 3398901000 is about 1503.5325630238.

Adding to 3398901000 its reverse (1098933), we get a palindrome (3399999933).

The spelling of 3398901000 in words is "three billion, three hundred ninety-eight million, nine hundred one thousand".