3819750400 has 264 divisors, whose sum is σ = 10252620576. Its totient is φ = 1405747200.

The previous prime is 3819750397. The next prime is 3819750401. The reversal of 3819750400 is 40579183.

It is a self number, because there is not a number n which added to its sum of digits gives 3819750400.

It is not an unprimeable number, because it can be changed into a prime (3819750401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29158335 + ... + 29158465.

It is an arithmetic number, because the mean of its divisors is an integer number (38835684).

Almost surely, 2^3819750400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3819750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5126310288).

3819750400 is an abundant number, since it is smaller than the sum of its proper divisors (6432870176).

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

3819750400 is a wasteful number, since it uses less digits than its factorization.

3819750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 3819750400 is about 61804.1293118834. The cubic root of 3819750400 is about 1563.1896168695.

The spelling of 3819750400 in words is "three billion, eight hundred nineteen million, seven hundred fifty thousand, four hundred".