1552345344 has 288 divisors, whose sum is σ = 5306878080. Its totient is φ = 442368000.

The previous prime is 1552345337. The next prime is 1552345363. The reversal of 1552345344 is 4435432551.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1552345299 and 1552345308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1291944 + ... + 1293144.

It is an arithmetic number, because the mean of its divisors is an integer number (18426660).

Almost surely, 2^1552345344 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 1552345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653439040).

1552345344 is an abundant number, since it is smaller than the sum of its proper divisors (3754532736).

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

1552345344 is a wasteful number, since it uses less digits than its factorization.

1552345344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1234 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 1552345344 is about 39399.8140097133. The cubic root of 1552345344 is about 1157.8779435906.

Adding to 1552345344 its reverse (4435432551), we get a palindrome (5987777895).

The spelling of 1552345344 in words is "one billion, five hundred fifty-two million, three hundred forty-five thousand, three hundred forty-four".