38623334400 has 468 divisors, whose sum is σ = 158129810592. Its totient is φ = 8826716160.

The previous prime is 38623334389. The next prime is 38623334417. The reversal of 38623334400 is 443332683.

38623334400 is a `hidden beast` number, since 3 + 86 + 233 + 344 + 0 + 0 = 666.

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

It is a congruent number.

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, 6448207 + ... + 6454193.

Almost surely, 2^38623334400 is an apocalyptic number.

38623334400 is a gapful number since it is divisible by the number (30) 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 38623334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79064905296).

38623334400 is an abundant number, since it is smaller than the sum of its proper divisors (119506476192).

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

38623334400 is a wasteful number, since it uses less digits than its factorization.

38623334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6034 (or 6004 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 38623334400 in words is "thirty-eight billion, six hundred twenty-three million, three hundred thirty-four thousand, four hundred".