3864053760 has 576 divisors, whose sum is σ = 15326962560. Its totient is φ = 825753600.

The previous prime is 3864053717. The next prime is 3864053773. The reversal of 3864053760 is 673504683.

It is a super-2 number, since 2×3864053760² = 29861822920340275200, 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 47 ways as a sum of consecutive naturals, for example, 25589685 + ... + 25589835.

It is an arithmetic number, because the mean of its divisors is an integer number (26609310).

Almost surely, 2^3864053760 is an apocalyptic number.

3864053760 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 3864053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663481280).

3864053760 is an abundant number, since it is smaller than the sum of its proper divisors (11462908800).

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

3864053760 is a wasteful number, since it uses less digits than its factorization.

3864053760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 3864053760 is about 62161.5134950879. The cubic root of 3864053760 is about 1569.2099504528.

The spelling of 3864053760 in words is "three billion, eight hundred sixty-four million, fifty-three thousand, seven hundred sixty".