38196126720 has 440 divisors, whose sum is σ = 141336146688. Its totient is φ = 9853747200.

The previous prime is 38196126691. The next prime is 38196126739. The reversal of 38196126720 is 2762169183.

38196126720 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 612 + 6 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12854835 + ... + 12857805.

Almost surely, 2^38196126720 is an apocalyptic number.

38196126720 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 38196126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70668073344).

38196126720 is an abundant number, since it is smaller than the sum of its proper divisors (103140019968).

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

38196126720 is a wasteful number, since it uses less digits than its factorization.

38196126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 38196126720 in words is "thirty-eight billion, one hundred ninety-six million, one hundred twenty-six thousand, seven hundred twenty".