1378436000 has 96 divisors (see below), whose sum is σ = 3534306048. Its totient is φ = 527366400.

The previous prime is 1378435967. The next prime is 1378436021. The reversal of 1378436000 is 6348731.

It is a super-4 number, since 4×1378436000⁴ (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 84509 + ... + 99491.

It is an arithmetic number, because the mean of its divisors is an integer number (36815688).

Almost surely, 2^1378436000 is an apocalyptic number.

1378436000 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 1378436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767153024).

1378436000 is an abundant number, since it is smaller than the sum of its proper divisors (2155870048).

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

1378436000 is a wasteful number, since it uses less digits than its factorization.

1378436000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15031 (or 15013 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 1378436000 is about 37127.2945418866. The cubic root of 1378436000 is about 1112.9155288235.

The spelling of 1378436000 in words is "one billion, three hundred seventy-eight million, four hundred thirty-six thousand".