1350380160 has 384 divisors, whose sum is σ = 5101387200. Its totient is φ = 340402176.

The previous prime is 1350380147. The next prime is 1350380173. The reversal of 1350380160 is 610830531.

It is an interprime number because it is at equal distance from previous prime (1350380147) and next prime (1350380173).

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

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

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, 2954652 + ... + 2955108.

Almost surely, 2^1350380160 is an apocalyptic number.

1350380160 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 1350380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550693600).

1350380160 is an abundant number, since it is smaller than the sum of its proper divisors (3751007040).

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

1350380160 is an equidigital number, since it uses as much as digits as its factorization.

1350380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1350380160 is about 36747.5190999338. The cubic root of 1350380160 is about 1105.3131821827.

The spelling of 1350380160 in words is "one billion, three hundred fifty million, three hundred eighty thousand, one hundred sixty".