1341936288 has 384 divisors, whose sum is σ = 5097738240. Its totient is φ = 333020160.

The previous prime is 1341936283. The next prime is 1341936301. The reversal of 1341936288 is 8826391431.

1341936288 is a `hidden beast` number, since 1 + 3 + 4 + 19 + 3 + 628 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1341936283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1529706 + ... + 1530582.

It is an arithmetic number, because the mean of its divisors is an integer number (13275360).

Almost surely, 2^1341936288 is an apocalyptic number.

1341936288 is a gapful number since it is divisible by the number (18) 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 1341936288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548869120).

1341936288 is an abundant number, since it is smaller than the sum of its proper divisors (3755801952).

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

1341936288 is a wasteful number, since it uses less digits than its factorization.

1341936288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 923 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1341936288 is about 36632.4485668103. The cubic root of 1341936288 is about 1103.0045374567.

The spelling of 1341936288 in words is "one billion, three hundred forty-one million, nine hundred thirty-six thousand, two hundred eighty-eight".