1350345600 has 192 divisors, whose sum is σ = 4942206000. Its totient is φ = 360069120.

The previous prime is 1350345583. The next prime is 1350345631. The reversal of 1350345600 is 65430531.

1350345600 is a `hidden beast` number, since 1 + 3 + 50 + 3 + 4 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78586 + ... + 94214.

Almost surely, 2^1350345600 is an apocalyptic number.

1350345600 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 1350345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471103000).

1350345600 is an abundant number, since it is smaller than the sum of its proper divisors (3591860400).

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

1350345600 is a wasteful number, since it uses less digits than its factorization.

1350345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15662 (or 15639 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1350345600 is about 36747.0488610990. The cubic root of 1350345600 is about 1105.3037527517.

It can be divided in two parts, 1350 and 345600, that multiplied together give a square (466560000 = 21600²).

The spelling of 1350345600 in words is "one billion, three hundred fifty million, three hundred forty-five thousand, six hundred".