1378208832 has 448 divisors, whose sum is σ = 5014130688. Its totient is φ = 322560000.

The previous prime is 1378208813. The next prime is 1378208837. The reversal of 1378208832 is 2388028731.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1378208837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13645582 + ... + 13645682.

It is an arithmetic number, because the mean of its divisors is an integer number (11192256).

Almost surely, 2^1378208832 is an apocalyptic number.

1378208832 is a gapful number since it is divisible by the number (12) 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 1378208832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507065344).

1378208832 is an abundant number, since it is smaller than the sum of its proper divisors (3635921856).

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

1378208832 is a wasteful number, since it uses less digits than its factorization.

1378208832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1378208832 is about 37124.2351032314. The cubic root of 1378208832 is about 1112.8543888348.

The spelling of 1378208832 in words is "one billion, three hundred seventy-eight million, two hundred eight thousand, eight hundred thirty-two".