38267342400 has 336 divisors, whose sum is σ = 148116869120. Its totient is φ = 8464435200.

The previous prime is 38267342297. The next prime is 38267342401. The reversal of 38267342400 is 424376283.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (38267342401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1023231 + ... + 1059969.

Almost surely, 2^38267342400 is an apocalyptic number.

38267342400 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 38267342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74058434560).

38267342400 is an abundant number, since it is smaller than the sum of its proper divisors (109849526720).

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

38267342400 is a wasteful number, since it uses less digits than its factorization.

38267342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36802 (or 36787 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 38267342400 in words is "thirty-eight billion, two hundred sixty-seven million, three hundred forty-two thousand, four hundred".