3136448016 has 135 divisors (see below), whose sum is σ = 9531394509. Its totient is φ = 962372736.

The previous prime is 3136448011. The next prime is 3136448017. The reversal of 3136448016 is 6108446313.

It is a happy number.

The square root of 3136448016 is 56004.

It is a perfect power (a square), and thus also a powerful number.

3136448016 is a `hidden beast` number, since 3 + 1 + 3 + 644 + 8 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 463971600 + 2672476416 = 21540^2 + 51696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3136448011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8736445 + ... + 8736803.

Almost surely, 2^3136448016 is an apocalyptic number.

3136448016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3136448016 is the 56004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3136448016

3136448016 is an abundant number, since it is smaller than the sum of its proper divisors (6394946493).

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

3136448016 is a wasteful number, since it uses less digits than its factorization.

3136448016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The cubic root of 3136448016 is about 1463.7919842406.

Multiplying 3136448016 by its sum of digits (36), we get a square (112912128576 = 336024²).

3136448016 divided by its sum of digits (36) gives a square (87123556 = 9334²).

The spelling of 3136448016 in words is "three billion, one hundred thirty-six million, four hundred forty-eight thousand, sixteen".