38008878240 has 96 divisors (see below), whose sum is σ = 119922949440. Its totient is φ = 10119194624.

The previous prime is 38008878211. The next prime is 38008878269. The reversal of 38008878240 is 4287880083.

It is an interprime number because it is at equal distance from previous prime (38008878211) and next prime (38008878269).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38008878240.

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, 231991 + ... + 360329.

It is an arithmetic number, because the mean of its divisors is an integer number (1249197390).

Almost surely, 2^38008878240 is an apocalyptic number.

38008878240 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 38008878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59961474720).

38008878240 is an abundant number, since it is smaller than the sum of its proper divisors (81914071200).

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

38008878240 is a wasteful number, since it uses less digits than its factorization.

38008878240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128974 (or 128966 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 38008878240 in words is "thirty-eight billion, eight million, eight hundred seventy-eight thousand, two hundred forty".