3498386224320 has 896 divisors, whose sum is σ = 14129433158400. Its totient is φ = 807218970624.

The previous prime is 3498386224271. The next prime is 3498386224349. The reversal of 3498386224320 is 234226838943.

3498386224320 is a `hidden beast` number, since 3 + 4 + 9 + 8 + 3 + 8 + 622 + 4 + 3 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 490722516 + ... + 490729644.

It is an arithmetic number, because the mean of its divisors is an integer number (15769456650).

Almost surely, 2^{3498386224320} is an apocalyptic number.

3498386224320 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 3498386224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7064716579200).

3498386224320 is an abundant number, since it is smaller than the sum of its proper divisors (10631046934080).

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

3498386224320 is a wasteful number, since it uses less digits than its factorization.

3498386224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7442 (or 7426 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 3498386224320 in words is "three trillion, four hundred ninety-eight billion, three hundred eighty-six million, two hundred twenty-four thousand, three hundred twenty".