1238436864 has 352 divisors, whose sum is σ = 4297062400. Its totient is φ = 349360128.

The previous prime is 1238436841. The next prime is 1238436917. The reversal of 1238436864 is 4686348321.

It is a super-2 number, since 2×1238436864² = 3067451732228308992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15676377 + ... + 15676455.

Almost surely, 2^1238436864 is an apocalyptic number.

1238436864 is a gapful number since it is divisible by the number (14) 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 1238436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148531200).

1238436864 is an abundant number, since it is smaller than the sum of its proper divisors (3058625536).

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

1238436864 is an frugal number, since it uses more digits than its factorization.

1238436864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 91 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 1238436864 is about 35191.4316844314. The cubic root of 1238436864 is about 1073.8854470375.

The spelling of 1238436864 in words is "one billion, two hundred thirty-eight million, four hundred thirty-six thousand, eight hundred sixty-four".