1348425600 has 384 divisors, whose sum is σ = 4808263680. Its totient is φ = 331161600.

The previous prime is 1348425587. The next prime is 1348425647. The reversal of 1348425600 is 65248431.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6844702 + ... + 6844898.

It is an arithmetic number, because the mean of its divisors is an integer number (12521520).

Almost surely, 2^1348425600 is an apocalyptic number.

1348425600 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 1348425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404131840).

1348425600 is an abundant number, since it is smaller than the sum of its proper divisors (3459838080).

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

1348425600 is a wasteful number, since it uses less digits than its factorization.

1348425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 1348425600 is about 36720.9150212791. The cubic root of 1348425600 is about 1104.7796425252.

The spelling of 1348425600 in words is "one billion, three hundred forty-eight million, four hundred twenty-five thousand, six hundred".