1238378400 has 216 divisors, whose sum is σ = 4990868064. Its totient is φ = 283046400.

The previous prime is 1238378399. The next prime is 1238378417. The reversal of 1238378400 is 48738321.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38115 + ... + 62685.

Almost surely, 2^1238378400 is an apocalyptic number.

1238378400 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 1238378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495434032).

1238378400 is an abundant number, since it is smaller than the sum of its proper divisors (3752489664).

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

1238378400 is a wasteful number, since it uses less digits than its factorization.

1238378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24604 (or 24588 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1238378400 is about 35190.6010178854. The cubic root of 1238378400 is about 1073.8685481471.

The spelling of 1238378400 in words is "one billion, two hundred thirty-eight million, three hundred seventy-eight thousand, four hundred".