3896166624 has 192 divisors, whose sum is σ = 12581194752. Its totient is φ = 1030348800.

The previous prime is 3896166623. The next prime is 3896166629. The reversal of 3896166624 is 4266616983.

It is a happy number.

It is a super-2 number, since 2×3896166624² = 30360228723943114752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3896166623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 694069 + ... + 699659.

It is an arithmetic number, because the mean of its divisors is an integer number (65527056).

Almost surely, 2^3896166624 is an apocalyptic number.

3896166624 is a gapful number since it is divisible by the number (34) 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 3896166624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6290597376).

3896166624 is an abundant number, since it is smaller than the sum of its proper divisors (8685028128).

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

3896166624 is a wasteful number, since it uses less digits than its factorization.

3896166624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5689 (or 5681 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The square root of 3896166624 is about 62419.2808673730. The cubic root of 3896166624 is about 1573.5450238636.

The spelling of 3896166624 in words is "three billion, eight hundred ninety-six million, one hundred sixty-six thousand, six hundred twenty-four".