3498024960 has 224 divisors, whose sum is σ = 12440594880. Its totient is φ = 932511744.

The previous prime is 3498024953. The next prime is 3498024967. The reversal of 3498024960 is 694208943.

3498024960 is a `hidden beast` number, since 349 + 8 + 0 + 249 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3498024953) and next prime (3498024967).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3498024967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1104339 + ... + 1107501.

It is an arithmetic number, because the mean of its divisors is an integer number (55538370).

Almost surely, 2^3498024960 is an apocalyptic number.

3498024960 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 3498024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220297440).

3498024960 is an abundant number, since it is smaller than the sum of its proper divisors (8942569920).

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

3498024960 is an equidigital number, since it uses as much as digits as its factorization.

3498024960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3498024960 is about 59144.1033409080. The cubic root of 3498024960 is about 1518.0088424550.

The spelling of 3498024960 in words is "three billion, four hundred ninety-eight million, twenty-four thousand, nine hundred sixty".