38106996480 has 288 divisors, whose sum is σ = 154546022400. Its totient is φ = 8710115328.

The previous prime is 38106996479. The next prime is 38106996533. The reversal of 38106996480 is 8469960183.

38106996480 is a `hidden beast` number, since 3 + 8 + 10 + 69 + 96 + 480 = 666.

38106996480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163161 + ... + 320679.

Almost surely, 2^38106996480 is an apocalyptic number.

38106996480 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 38106996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77273011200).

38106996480 is an abundant number, since it is smaller than the sum of its proper divisors (116439025920).

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

38106996480 is a wasteful number, since it uses less digits than its factorization.

38106996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157556 (or 157536 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 38106996480 in words is "thirty-eight billion, one hundred six million, nine hundred ninety-six thousand, four hundred eighty".