3878582400 has 1152 divisors, whose sum is σ = 18167587200. Its totient is φ = 790732800.

The previous prime is 3878582291. The next prime is 3878582441. The reversal of 3878582400 is 42858783.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73180774 + ... + 73180826.

It is an arithmetic number, because the mean of its divisors is an integer number (15770475).

Almost surely, 2^3878582400 is an apocalyptic number.

3878582400 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 3878582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9083793600).

3878582400 is an abundant number, since it is smaller than the sum of its proper divisors (14289004800).

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

3878582400 is a wasteful number, since it uses less digits than its factorization.

3878582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 3878582400 is about 62278.2658718112. The cubic root of 3878582400 is about 1571.1742064476.

The spelling of 3878582400 in words is "three billion, eight hundred seventy-eight million, five hundred eighty-two thousand, four hundred".