3857503952304 has 200 divisors, whose sum is σ = 11222523275040. Its totient is φ = 1279192891392.

The previous prime is 3857503952303. The next prime is 3857503952317. The reversal of 3857503952304 is 4032593057583.

3857503952304 is a `hidden beast` number, since 3 + 8 + 57 + 503 + 9 + 52 + 30 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3857503952303) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 262104754 + ... + 262119470.

Almost surely, 2^{3857503952304} 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 3857503952304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5611261637520).

3857503952304 is an abundant number, since it is smaller than the sum of its proper divisors (7365019322736).

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

3857503952304 is a wasteful number, since it uses less digits than its factorization.

3857503952304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15769 (or 15754 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 3857503952304 in words is "three trillion, eight hundred fifty-seven billion, five hundred three million, nine hundred fifty-two thousand, three hundred four".