1350795600 has 540 divisors, whose sum is σ = 5901893088. Its totient is φ = 280051200.

The previous prime is 1350795583. The next prime is 1350795617. The reversal of 1350795600 is 65970531.

It is a happy number.

1350795600 is a `hidden beast` number, since 1 + 3 + 507 + 95 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1350795583) and next prime (1350795617).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3048979 + ... + 3049421.

Almost surely, 2^1350795600 is an apocalyptic number.

1350795600 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 1350795600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950946544).

1350795600 is an abundant number, since it is smaller than the sum of its proper divisors (4551097488).

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

1350795600 is a wasteful number, since it uses less digits than its factorization.

1350795600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 1350795600 is about 36753.1712917403. The cubic root of 1350795600 is about 1105.4265192119.

The spelling of 1350795600 in words is "one billion, three hundred fifty million, seven hundred ninety-five thousand, six hundred".