3848378400 has 432 divisors, whose sum is σ = 15004289664. Its totient is φ = 923197440.

The previous prime is 3848378357. The next prime is 3848378411. The reversal of 3848378400 is 48738483.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 2814517 + ... + 2815883.

It is an arithmetic number, because the mean of its divisors is an integer number (34732152).

Almost surely, 2^3848378400 is an apocalyptic number.

3848378400 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 3848378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7502144832).

3848378400 is an abundant number, since it is smaller than the sum of its proper divisors (11155911264).

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

3848378400 is a wasteful number, since it uses less digits than its factorization.

3848378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 3848378400 is about 62035.2996285180. The cubic root of 3848378400 is about 1567.0851294021.

The spelling of 3848378400 in words is "three billion, eight hundred forty-eight million, three hundred seventy-eight thousand, four hundred".