38746112800626 has 256 divisors, whose sum is σ = 111110527180800. Its totient is φ = 9711615916800.

The previous prime is 38746112800613. The next prime is 38746112800631. The reversal of 38746112800626 is 62600821164783.

It is a happy number.

38746112800626 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 6 + 1 + 1 + 2 + 8 + 0 + 0 + 626 = 666.

It is a super-2 number, since 2×38746112800626² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 224316771 + ... + 224489433.

It is an arithmetic number, because the mean of its divisors is an integer number (434025496800).

Almost surely, 2^{38746112800626} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38746112800626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55555263590400).

38746112800626 is an abundant number, since it is smaller than the sum of its proper divisors (72364414380174).

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

38746112800626 is a wasteful number, since it uses less digits than its factorization.

38746112800626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174582 (or 174576 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 38746112800626 in words is "thirty-eight trillion, seven hundred forty-six billion, one hundred twelve million, eight hundred thousand, six hundred twenty-six".