3825069360 has 720 divisors, whose sum is σ = 15705039456. Its totient is φ = 764854272.

The previous prime is 3825069317. The next prime is 3825069371. The reversal of 3825069360 is 639605283.

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 143 ways as a sum of consecutive naturals, for example, 72171094 + ... + 72171146.

Almost surely, 2^3825069360 is an apocalyptic number.

3825069360 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 3825069360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7852519728).

3825069360 is an abundant number, since it is smaller than the sum of its proper divisors (11879970096).

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

3825069360 is a wasteful number, since it uses less digits than its factorization.

3825069360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 3825069360 is about 61847.1451240880. The cubic root of 3825069360 is about 1563.9148550704.

The spelling of 3825069360 in words is "three billion, eight hundred twenty-five million, sixty-nine thousand, three hundred sixty".