38226460800000 has 528 divisors, whose sum is σ = 138928930104384. Its totient is φ = 9266995200000.

The previous prime is 38226460799959. The next prime is 38226460800013. The reversal of 38226460800000 is 806462283.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×38226460800000² (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, 105419004 + ... + 105780996.

Almost surely, 2^{38226460800000} is an apocalyptic number.

38226460800000 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 38226460800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69464465052192).

38226460800000 is an abundant number, since it is smaller than the sum of its proper divisors (100702469304384).

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

38226460800000 is an equidigital number, since it uses as much as digits as its factorization.

38226460800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362052 (or 362014 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 38226460800000 in words is "thirty-eight trillion, two hundred twenty-six billion, four hundred sixty million, eight hundred thousand".