3395873250 has 384 divisors, whose sum is σ = 12132177408. Its totient is φ = 663552000.

The previous prime is 3395873237. The next prime is 3395873279. The reversal of 3395873250 is 523785933.

3395873250 is a `hidden beast` number, since 3 + 39 + 587 + 32 + 5 + 0 = 666.

3395873250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3395873196 and 3395873205.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2944674 + ... + 2945826.

It is an arithmetic number, because the mean of its divisors is an integer number (31594212).

Almost surely, 2^3395873250 is an apocalyptic number.

3395873250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3395873250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6066088704).

3395873250 is an abundant number, since it is smaller than the sum of its proper divisors (8736304158).

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

3395873250 is a wasteful number, since it uses less digits than its factorization.

3395873250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 3395873250 is about 58274.1216150016. The cubic root of 3395873250 is about 1503.0859801306.

The spelling of 3395873250 in words is "three billion, three hundred ninety-five million, eight hundred seventy-three thousand, two hundred fifty".