38243385600 has 864 divisors, whose sum is σ = 152219590656. Its totient is φ = 8272281600.

The previous prime is 38243385581. The next prime is 38243385619. The reversal of 38243385600 is 658334283.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38243385581) and next prime (38243385619).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 279148732 + ... + 279148868.

Almost surely, 2^38243385600 is an apocalyptic number.

38243385600 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 38243385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76109795328).

38243385600 is an abundant number, since it is smaller than the sum of its proper divisors (113976205056).

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

38243385600 is a wasteful number, since it uses less digits than its factorization.

38243385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 38243385600 in words is "thirty-eight billion, two hundred forty-three million, three hundred eighty-five thousand, six hundred".