1355089344 has 224 divisors, whose sum is σ = 4354007040. Its totient is φ = 363568128.

The previous prime is 1355089343. The next prime is 1355089361. The reversal of 1355089344 is 4439805531.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1355089296 and 1355089305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355089343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1823437 + ... + 1824179.

Almost surely, 2^1355089344 is an apocalyptic number.

1355089344 is a gapful number since it is divisible by the number (14) 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 1355089344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177003520).

1355089344 is an abundant number, since it is smaller than the sum of its proper divisors (2998917696).

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

1355089344 is a wasteful number, since it uses less digits than its factorization.

1355089344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 1355089344 is about 36811.5381911704. The cubic root of 1355089344 is about 1106.5965452901.

The spelling of 1355089344 in words is "one billion, three hundred fifty-five million, eighty-nine thousand, three hundred forty-four".