3162978720 has 360 divisors, whose sum is σ = 12275804772. Its totient is φ = 766402560.

The previous prime is 3162978719. The next prime is 3162978733. The reversal of 3162978720 is 278792613.

It can be written as a sum of positive squares in 2 ways, for example, as 3117658896 + 45319824 = 55836^2 + 6732^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 1567152 + ... + 1569168.

Almost surely, 2^3162978720 is an apocalyptic number.

3162978720 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 3162978720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6137902386).

3162978720 is an abundant number, since it is smaller than the sum of its proper divisors (9112826052).

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

3162978720 is a wasteful number, since it uses less digits than its factorization.

3162978720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 3162978720 is about 56240.3655749143. The cubic root of 3162978720 is about 1467.9077273237.

The spelling of 3162978720 in words is "three billion, one hundred sixty-two million, nine hundred seventy-eight thousand, seven hundred twenty".