1378334880 has 432 divisors, whose sum is σ = 5312014344. Its totient is φ = 335923200.

The previous prime is 1378334873. The next prime is 1378334897. The reversal of 1378334880 is 884338731.

1378334880 is a `hidden beast` number, since 137 + 8 + 33 + 488 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1201870224 + 176464656 = 34668^2 + 13284^2 .

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1378334880² = 3799614082849228800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13646830 + ... + 13646930.

Almost surely, 2^1378334880 is an apocalyptic number.

1378334880 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 1378334880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656007172).

1378334880 is an abundant number, since it is smaller than the sum of its proper divisors (3933679464).

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

1378334880 is an equidigital number, since it uses as much as digits as its factorization.

1378334880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1378334880 is about 37125.9327155561. The cubic root of 1378334880 is about 1112.8883142194. Note that the first 3 decimals are identical.

The spelling of 1378334880 in words is "one billion, three hundred seventy-eight million, three hundred thirty-four thousand, eight hundred eighty".