3298434048000 has 4480 divisors, whose sum is σ = 16625038510080. Its totient is φ = 630639820800.

The previous prime is 3298434047939. The next prime is 3298434048047. The reversal of 3298434048000 is 8404348923.

3298434048000 is a `hidden beast` number, since 3 + 2 + 98 + 43 + 40 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

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 319 ways as a sum of consecutive naturals, for example, 143410175989 + ... + 143410176011.

It is an arithmetic number, because the mean of its divisors is an integer number (3710946096).

Almost surely, 2^{3298434048000} is an apocalyptic number.

3298434048000 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 3298434048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8312519255040).

3298434048000 is an abundant number, since it is smaller than the sum of its proper divisors (13326604462080).

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

3298434048000 is a wasteful number, since it uses less digits than its factorization.

3298434048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3298434048000 in words is "three trillion, two hundred ninety-eight billion, four hundred thirty-four million, forty-eight thousand".