3857269248 has 480 divisors, whose sum is σ = 13631794176. Its totient is φ = 1065996288.

The previous prime is 3857269223. The next prime is 3857269289. The reversal of 3857269248 is 8429627583.

3857269248 is a `hidden beast` number, since 3 + 8 + 572 + 69 + 2 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3857269194 and 3857269203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37449165 + ... + 37449267.

Almost surely, 2^3857269248 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 3857269248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6815897088).

3857269248 is an abundant number, since it is smaller than the sum of its proper divisors (9774524928).

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

3857269248 is an equidigital number, since it uses as much as digits as its factorization.

3857269248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 158 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 3857269248 is about 62106.9178755475. The cubic root of 3857269248 is about 1568.2910052698.

The spelling of 3857269248 in words is "three billion, eight hundred fifty-seven million, two hundred sixty-nine thousand, two hundred forty-eight".