3855614400 has 504 divisors, whose sum is σ = 15160221648. Its totient is φ = 921600000.

The previous prime is 3855614383. The next prime is 3855614417. The reversal of 3855614400 is 44165583.

It is a happy number.

3855614400 is a `hidden beast` number, since 38 + 5 + 5 + 614 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3855614383) and next prime (3855614417).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 15998280 + ... + 15998520.

Almost surely, 2^3855614400 is an apocalyptic number.

3855614400 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 3855614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7580110824).

3855614400 is an abundant number, since it is smaller than the sum of its proper divisors (11304607248).

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

3855614400 is a wasteful number, since it uses less digits than its factorization.

3855614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3855614400 is about 62093.5938724761. The cubic root of 3855614400 is about 1568.0666968020.

Adding to 3855614400 its reverse (44165583), we get a palindrome (3899779983).

The spelling of 3855614400 in words is "three billion, eight hundred fifty-five million, six hundred fourteen thousand, four hundred".