1238880000 has 360 divisors, whose sum is σ = 4310182800. Its totient is φ = 315392000.

The previous prime is 1238879977. The next prime is 1238880031. The reversal of 1238880000 is 888321.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1238880000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13919956 + ... + 13920044.

It is an arithmetic number, because the mean of its divisors is an integer number (11972730).

Almost surely, 2^1238880000 is an apocalyptic number.

1238880000 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 1238880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155091400).

1238880000 is an abundant number, since it is smaller than the sum of its proper divisors (3071302800).

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

1238880000 is an frugal number, since it uses more digits than its factorization.

1238880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1238880000 is about 35197.7271993519. The cubic root of 1238880000 is about 1074.0135172329.

It can be divided in two parts, 12 and 38880000, that multiplied together give a square (466560000 = 21600²).

The spelling of 1238880000 in words is "one billion, two hundred thirty-eight million, eight hundred eighty thousand".