3298101408 has 384 divisors, whose sum is σ = 11612160000. Its totient is φ = 909377280.

The previous prime is 3298101403. The next prime is 3298101461. The reversal of 3298101408 is 8041018923.

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

It is not an unprimeable number, because it can be changed into a prime (3298101403) 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, 9186733 + ... + 9187091.

It is an arithmetic number, because the mean of its divisors is an integer number (30240000).

Almost surely, 2^3298101408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3298101408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080000).

3298101408 is an abundant number, since it is smaller than the sum of its proper divisors (8314058592).

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

3298101408 is a wasteful number, since it uses less digits than its factorization.

3298101408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 3298101408 is about 57429.0989655941. The cubic root of 3298101408 is about 1488.5199795630.

The spelling of 3298101408 in words is "three billion, two hundred ninety-eight million, one hundred one thousand, four hundred eight".