3825555840 has 384 divisors, whose sum is σ = 13753696320. Its totient is φ = 979107840.

The previous prime is 3825555791. The next prime is 3825555859. The reversal of 3825555840 is 485555283.

3825555840 is a `hidden beast` number, since 3 + 8 + 2 + 55 + 558 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22907437 + ... + 22907603.

Almost surely, 2^3825555840 is an apocalyptic number.

3825555840 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 3825555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876848160).

3825555840 is an abundant number, since it is smaller than the sum of its proper divisors (9928140480).

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

3825555840 is a wasteful number, since it uses less digits than its factorization.

3825555840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The square root of 3825555840 is about 61851.0779210840. The cubic root of 3825555840 is about 1563.9811528702.

The spelling of 3825555840 in words is "three billion, eight hundred twenty-five million, five hundred fifty-five thousand, eight hundred forty".