1283276736 has 224 divisors, whose sum is σ = 4338401280. Its totient is φ = 364372992.

The previous prime is 1283276719. The next prime is 1283276737. The reversal of 1283276736 is 6376723821.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (508032) is a multiple of the sum of its prime divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 1283276691 and 1283276700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283276737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3350401 + ... + 3350783.

Almost surely, 2^1283276736 is an apocalyptic number.

1283276736 is a gapful number since it is divisible by the number (16) 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 1283276736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169200640).

1283276736 is an abundant number, since it is smaller than the sum of its proper divisors (3055124544).

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

1283276736 is a wasteful number, since it uses less digits than its factorization.

1283276736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 672 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 1283276736 is about 35822.8521477562. The cubic root of 1283276736 is about 1086.6927602769.

The spelling of 1283276736 in words is "one billion, two hundred eighty-three million, two hundred seventy-six thousand, seven hundred thirty-six".