38363126091840 has 2688 divisors, whose sum is σ = 160840777144320. Its totient is φ = 8614364774400.

The previous prime is 38363126091833. The next prime is 38363126091971. The reversal of 38363126091840 is 4819062136383.

38363126091840 is a `hidden beast` number, since 3 + 8 + 3 + 6 + 3 + 12 + 609 + 18 + 4 + 0 = 666.

It is a super-2 number, since 2×38363126091840² (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 an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 68140543399 + ... + 68140543961.

It is an arithmetic number, because the mean of its divisors is an integer number (59836598640).

Almost surely, 2^{38363126091840} is an apocalyptic number.

38363126091840 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 38363126091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80420388572160).

38363126091840 is an abundant number, since it is smaller than the sum of its proper divisors (122477651052480).

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

38363126091840 is a wasteful number, since it uses less digits than its factorization.

38363126091840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 38363126091840 in words is "thirty-eight trillion, three hundred sixty-three billion, one hundred twenty-six million, ninety-one thousand, eight hundred forty".