38006284800000 has 624 divisors, whose sum is σ = 138180493007424. Its totient is φ = 9213542400000.

The previous prime is 38006284799957. The next prime is 38006284800013. The reversal of 38006284800000 is 848260083.

It is a super-2 number, since 2×38006284800000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422355012 + ... + 422444988.

Almost surely, 2^{38006284800000} is an apocalyptic number.

38006284800000 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 38006284800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69090246503712).

38006284800000 is an abundant number, since it is smaller than the sum of its proper divisors (100174208207424).

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

38006284800000 is an frugal number, since it uses more digits than its factorization.

38006284800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90040 (or 89998 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 38006284800000 in words is "thirty-eight trillion, six billion, two hundred eighty-four million, eight hundred thousand".