3893084160 has 480 divisors, whose sum is σ = 14897713152. Its totient is φ = 849346560.

The previous prime is 3893084159. The next prime is 3893084171. The reversal of 3893084160 is 614803983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3893084160² = 30312208553685811200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53329884 + ... + 53329956.

Almost surely, 2^3893084160 is an apocalyptic number.

3893084160 is a gapful number since it is divisible by the number (30) 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 3893084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7448856576).

3893084160 is an abundant number, since it is smaller than the sum of its proper divisors (11004628992).

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

3893084160 is an equidigital number, since it uses as much as digits as its factorization.

3893084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 3893084160 is about 62394.5843803771. The cubic root of 3893084160 is about 1573.1299427464.

The spelling of 3893084160 in words is "three billion, eight hundred ninety-three million, eighty-four thousand, one hundred sixty".