38006307840 has 176 divisors, whose sum is σ = 122746111488. Its totient is φ = 10036199424.

The previous prime is 38006307827. The next prime is 38006307883. The reversal of 38006307840 is 4870360083.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1570069 + ... + 1594091.

It is an arithmetic number, because the mean of its divisors is an integer number (697421088).

Almost surely, 2^38006307840 is an apocalyptic number.

38006307840 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 38006307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61373055744).

38006307840 is an abundant number, since it is smaller than the sum of its proper divisors (84739803648).

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

38006307840 is a wasteful number, since it uses less digits than its factorization.

38006307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24154 (or 24136 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 38006307840 in words is "thirty-eight billion, six million, three hundred seven thousand, eight hundred forty".