3298948128000 has 1728 divisors, whose sum is σ = 14656519987200. Its totient is φ = 727772774400.

The previous prime is 3298948127989. The next prime is 3298948128083. The reversal of 3298948128000 is 8218498923.

3298948128000 is a `hidden beast` number, since 3 + 2 + 9 + 89 + 481 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1227742657 + ... + 1227745343.

It is an arithmetic number, because the mean of its divisors is an integer number (8481782400).

Almost surely, 2^{3298948128000} is an apocalyptic number.

3298948128000 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 3298948128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7328259993600).

3298948128000 is an abundant number, since it is smaller than the sum of its proper divisors (11357571859200).

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

3298948128000 is a wasteful number, since it uses less digits than its factorization.

3298948128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 3298948128000 in words is "three trillion, two hundred ninety-eight billion, nine hundred forty-eight million, one hundred twenty-eight thousand".