1351384704 has 96 divisors (see below), whose sum is σ = 3915346500. Its totient is φ = 447381504.

The previous prime is 1351384703. The next prime is 1351384733. The reversal of 1351384704 is 4074831531.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1014295104 + 337089600 = 31848^2 + 18360^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 (1351384703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167712 + ... + 175584.

Almost surely, 2^1351384704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351384704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957673250).

1351384704 is an abundant number, since it is smaller than the sum of its proper divisors (2563961796).

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

1351384704 is a wasteful number, since it uses less digits than its factorization.

1351384704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8042 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1351384704 is about 36761.1847469583. The cubic root of 1351384704 is about 1105.5871940367.

The spelling of 1351384704 in words is "one billion, three hundred fifty-one million, three hundred eighty-four thousand, seven hundred four".