38134702080 has 672 divisors, whose sum is σ = 141322641408. Its totient is φ = 9496166400.

The previous prime is 38134702079. The next prime is 38134702157. The reversal of 38134702080 is 8020743183.

38134702080 is a `hidden beast` number, since 381 + 3 + 4 + 70 + 208 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 537108445 + ... + 537108515.

Almost surely, 2^38134702080 is an apocalyptic number.

38134702080 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 38134702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70661320704).

38134702080 is an abundant number, since it is smaller than the sum of its proper divisors (103187939328).

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

38134702080 is a wasteful number, since it uses less digits than its factorization.

38134702080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 38134702080 in words is "thirty-eight billion, one hundred thirty-four million, seven hundred two thousand, eighty".