3825136980 has 144 divisors (see below), whose sum is σ = 13843448640. Its totient is φ = 874310976.

The previous prime is 3825136967. The next prime is 3825137011. The reversal of 3825136980 is 896315283.

It is a happy number.

3825136980 is a `hidden beast` number, since 38 + 251 + 369 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 45822 + ... + 98741.

It is an arithmetic number, because the mean of its divisors is an integer number (96135060).

Almost surely, 2^3825136980 is an apocalyptic number.

3825136980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3825136980 is an abundant number, since it is smaller than the sum of its proper divisors (10018311660).

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

3825136980 is a wasteful number, since it uses less digits than its factorization.

3825136980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144595 (or 144580 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3825136980 is about 61847.6917920144. The cubic root of 3825136980 is about 1563.9240707028.

The spelling of 3825136980 in words is "three billion, eight hundred twenty-five million, one hundred thirty-six thousand, nine hundred eighty".