3038736960 has 504 divisors, whose sum is σ = 12392762616. Its totient is φ = 681246720.

The previous prime is 3038736959. The next prime is 3038736971. The reversal of 3038736960 is 696378303.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2286144 + 3036450816 = 1512^2 + 55104^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8608144 + ... + 8608496.

Almost surely, 2^3038736960 is an apocalyptic number.

3038736960 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 3038736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6196381308).

3038736960 is an abundant number, since it is smaller than the sum of its proper divisors (9354025656).

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

3038736960 is a wasteful number, since it uses less digits than its factorization.

3038736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3038736960 is about 55124.7399993868. The cubic root of 3038736960 is about 1448.4306381713.

The spelling of 3038736960 in words is "three billion, thirty-eight million, seven hundred thirty-six thousand, nine hundred sixty".