3498025015296 has 672 divisors, whose sum is σ = 12028036718880. Its totient is φ = 995837607936.

The previous prime is 3498025015291. The next prime is 3498025015297. The reversal of 3498025015296 is 6925105208943.

3498025015296 is a `hidden beast` number, since 3 + 4 + 9 + 80 + 2 + 501 + 52 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3498025015291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4525258366 + ... + 4525259138.

It is an arithmetic number, because the mean of its divisors is an integer number (17898864165).

Almost surely, 2^{3498025015296} is an apocalyptic number.

3498025015296 is a gapful number since it is divisible by the number (36) 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 3498025015296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014018359440).

3498025015296 is an abundant number, since it is smaller than the sum of its proper divisors (8530011703584).

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

3498025015296 is an frugal number, since it uses more digits than its factorization.

3498025015296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 3498025015296 in words is "three trillion, four hundred ninety-eight billion, twenty-five million, fifteen thousand, two hundred ninety-six".