1349354160 has 960 divisors, whose sum is σ = 6310310400. Its totient is φ = 261273600.

The previous prime is 1349354113. The next prime is 1349354177. The reversal of 1349354160 is 614539431.

1349354160 is a `hidden beast` number, since 1 + 3 + 493 + 5 + 4 + 160 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22120530 + ... + 22120590.

It is an arithmetic number, because the mean of its divisors is an integer number (6573240).

Almost surely, 2^1349354160 is an apocalyptic number.

1349354160 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 1349354160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155155200).

1349354160 is an abundant number, since it is smaller than the sum of its proper divisors (4960956240).

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

1349354160 is a wasteful number, since it uses less digits than its factorization.

1349354160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1349354160 is about 36733.5563211623. The cubic root of 1349354160 is about 1105.0331774127.

The spelling of 1349354160 in words is "one billion, three hundred forty-nine million, three hundred fifty-four thousand, one hundred sixty".