3878658000 has 640 divisors, whose sum is σ = 16440852480. Its totient is φ = 855360000.

The previous prime is 3878657989. The next prime is 3878658011. The reversal of 3878658000 is 8568783.

It is an interprime number because it is at equal distance from previous prime (3878657989) and next prime (3878658011).

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

It is a congruent number.

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, 11717835 + ... + 11718165.

It is an arithmetic number, because the mean of its divisors is an integer number (25688832).

Almost surely, 2^3878658000 is an apocalyptic number.

3878658000 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 3878658000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8220426240).

3878658000 is an abundant number, since it is smaller than the sum of its proper divisors (12562194480).

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

3878658000 is a wasteful number, since it uses less digits than its factorization.

3878658000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 3878658000 is about 62278.8728221698. The cubic root of 3878658000 is about 1571.1844146444.

The spelling of 3878658000 in words is "three billion, eight hundred seventy-eight million, six hundred fifty-eight thousand".