3013998624 has 288 divisors, whose sum is σ = 10768867200. Its totient is φ = 794562048.

The previous prime is 3013998619. The next prime is 3013998641. The reversal of 3013998624 is 4268993103.

It is a happy number.

3013998624 is a `hidden beast` number, since 3 + 0 + 13 + 9 + 9 + 8 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×3013998624³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3013998624.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1283019 + ... + 1285365.

It is an arithmetic number, because the mean of its divisors is an integer number (37391900).

Almost surely, 2^3013998624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013998624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5384433600).

3013998624 is an abundant number, since it is smaller than the sum of its proper divisors (7754868576).

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

3013998624 is a wasteful number, since it uses less digits than its factorization.

3013998624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3013998624 is about 54899.8963933449. The cubic root of 3013998624 is about 1444.4893689503.

The spelling of 3013998624 in words is "three billion, thirteen million, nine hundred ninety-eight thousand, six hundred twenty-four".