1388334000 has 160 divisors (see below), whose sum is σ = 4540423680. Its totient is φ = 364896000.

The previous prime is 1388333983. The next prime is 1388334007. The reversal of 1388334000 is 4338831.

It is a super-3 number, since 3×1388334000³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1388334007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424371 + ... + 427629.

It is an arithmetic number, because the mean of its divisors is an integer number (28377648).

Almost surely, 2^1388334000 is an apocalyptic number.

1388334000 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 1388334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270211840).

1388334000 is an abundant number, since it is smaller than the sum of its proper divisors (3152089680).

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

1388334000 is a wasteful number, since it uses less digits than its factorization.

1388334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1388334000 is about 37260.3542656266. The cubic root of 1388334000 is about 1115.5729793161.

The spelling of 1388334000 in words is "one billion, three hundred eighty-eight million, three hundred thirty-four thousand".