1350384640 has 88 divisors (see below), whose sum is σ = 3533973552. Its totient is φ = 491028480.

The previous prime is 1350384617. The next prime is 1350384649. The reversal of 1350384640 is 464830531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a junction number, because it is equal to n+sod(n) for n = 1350384596 and 1350384605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350384649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44332 + ... + 68308.

Almost surely, 2^1350384640 is an apocalyptic number.

1350384640 is a gapful number since it is divisible by the number (10) 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 1350384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766986776).

1350384640 is an abundant number, since it is smaller than the sum of its proper divisors (2183588912).

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

1350384640 is a wasteful number, since it uses less digits than its factorization.

1350384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24013 (or 23995 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 1350384640 is about 36747.5800563792. The cubic root of 1350384640 is about 1105.3144045046.

The spelling of 1350384640 in words is "one billion, three hundred fifty million, three hundred eighty-four thousand, six hundred forty".