3855974400 has 288 divisors, whose sum is σ = 13839157020. Its totient is φ = 1026293760.

The previous prime is 3855974393. The next prime is 3855974407. The reversal of 3855974400 is 44795583.

It is an interprime number because it is at equal distance from previous prime (3855974393) and next prime (3855974407).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3855974407) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 7372539 + ... + 7373061.

Almost surely, 2^3855974400 is an apocalyptic number.

3855974400 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 3855974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919578510).

3855974400 is an abundant number, since it is smaller than the sum of its proper divisors (9983182620).

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

3855974400 is an equidigital number, since it uses as much as digits as its factorization.

3855974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3855974400 is about 62096.4926545775. The cubic root of 3855974400 is about 1568.1154989196.

The spelling of 3855974400 in words is "three billion, eight hundred fifty-five million, nine hundred seventy-four thousand, four hundred".