3858088080 has 640 divisors, whose sum is σ = 16147537920. Its totient is φ = 738017280.

The previous prime is 3858088079. The next prime is 3858088133. The reversal of 3858088080 is 808808583.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12326004 + ... + 12326316.

It is an arithmetic number, because the mean of its divisors is an integer number (25230528).

Almost surely, 2^3858088080 is an apocalyptic number.

3858088080 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 3858088080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8073768960).

3858088080 is an abundant number, since it is smaller than the sum of its proper divisors (12289449840).

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

3858088080 is a wasteful number, since it uses less digits than its factorization.

3858088080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The square root of 3858088080 is about 62113.5096416231. The cubic root of 3858088080 is about 1568.4019711647.

The spelling of 3858088080 in words is "three billion, eight hundred fifty-eight million, eighty-eight thousand, eighty".