38608529653440 has 672 divisors, whose sum is σ = 139156013767680. Its totient is φ = 10188482973696.

The previous prime is 38608529653417. The next prime is 38608529653457. The reversal of 38608529653440 is 4435692580683.

38608529653440 is a `hidden beast` number, since 3 + 8 + 6 + 0 + 8 + 5 + 2 + 96 + 534 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2973769189 + ... + 2973782171.

It is an arithmetic number, because the mean of its divisors is an integer number (207077401440).

Almost surely, 2^{38608529653440} is an apocalyptic number.

38608529653440 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 38608529653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69578006883840).

38608529653440 is an abundant number, since it is smaller than the sum of its proper divisors (100547484114240).

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

38608529653440 is a wasteful number, since it uses less digits than its factorization.

38608529653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13411 (or 13389 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 38608529653440 in words is "thirty-eight trillion, six hundred eight billion, five hundred twenty-nine million, six hundred fifty-three thousand, four hundred forty".