3899750400 has 1152 divisors, whose sum is σ = 18198835200. Its totient is φ = 796262400.

The previous prime is 3899750389. The next prime is 3899750401. The reversal of 3899750400 is 40579983.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3899750401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125798385 + ... + 125798415.

It is an arithmetic number, because the mean of its divisors is an integer number (15797600).

Almost surely, 2^3899750400 is an apocalyptic number.

3899750400 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 3899750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9099417600).

3899750400 is an abundant number, since it is smaller than the sum of its proper divisors (14299084800).

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

3899750400 is a wasteful number, since it uses less digits than its factorization.

3899750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3899750400 is about 62447.9815526491. The cubic root of 3899750400 is about 1574.0273359488.

The spelling of 3899750400 in words is "three billion, eight hundred ninety-nine million, seven hundred fifty thousand, four hundred".