3893041152 has 576 divisors, whose sum is σ = 15168142080. Its totient is φ = 928972800.

The previous prime is 3893041151. The next prime is 3893041169. The reversal of 3893041152 is 2511403983.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3893041152² = 30311538822330974208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3893041151) 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, 18450327 + ... + 18450537.

It is an arithmetic number, because the mean of its divisors is an integer number (26333580).

Almost surely, 2^3893041152 is an apocalyptic number.

3893041152 is a gapful number since it is divisible by the number (32) 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 3893041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7584071040).

3893041152 is an abundant number, since it is smaller than the sum of its proper divisors (11275100928).

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

3893041152 is a wasteful number, since it uses less digits than its factorization.

3893041152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3893041152 is about 62394.2397341293. The cubic root of 3893041152 is about 1573.1241497881.

The spelling of 3893041152 in words is "three billion, eight hundred ninety-three million, forty-one thousand, one hundred fifty-two".