3825329664 has 320 divisors, whose sum is σ = 11879239680. Its totient is φ = 1083310080.

The previous prime is 3825329657. The next prime is 3825329687. The reversal of 3825329664 is 4669235283.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 20027809 + ... + 20027999.

It is an arithmetic number, because the mean of its divisors is an integer number (37122624).

Almost surely, 2^3825329664 is an apocalyptic number.

3825329664 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 3825329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939619840).

3825329664 is an abundant number, since it is smaller than the sum of its proper divisors (8053910016).

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

3825329664 is a wasteful number, since it uses less digits than its factorization.

3825329664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 285 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The square root of 3825329664 is about 61849.2495023181. The cubic root of 3825329664 is about 1563.9503301621.

The spelling of 3825329664 in words is "three billion, eight hundred twenty-five million, three hundred twenty-nine thousand, six hundred sixty-four".