3873252096 has 432 divisors, whose sum is σ = 13496025088. Its totient is φ = 1045094400.

The previous prime is 3873252091. The next prime is 3873252101. The reversal of 3873252096 is 6902523783.

3873252096 is a `hidden beast` number, since 3 + 8 + 7 + 32 + 520 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (3873252091) and next prime (3873252101).

It is not an unprimeable number, because it can be changed into a prime (3873252091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30497985 + ... + 30498111.

Almost surely, 2^3873252096 is an apocalyptic number.

3873252096 is a gapful number since it is divisible by the number (36) 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 3873252096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6748012544).

3873252096 is an abundant number, since it is smaller than the sum of its proper divisors (9622772992).

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

3873252096 is a wasteful number, since it uses less digits than its factorization.

3873252096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3873252096 is about 62235.4569036012. The cubic root of 3873252096 is about 1570.4541258687.

The spelling of 3873252096 in words is "three billion, eight hundred seventy-three million, two hundred fifty-two thousand, ninety-six".