3845413699200 has 480 divisors, whose sum is σ = 14648208347520. Its totient is φ = 992362752000.

The previous prime is 3845413699199. The next prime is 3845413699249. The reversal of 3845413699200 is 29963145483.

3845413699200 is a `hidden beast` number, since 3 + 8 + 4 + 541 + 3 + 6 + 9 + 92 + 0 + 0 = 666.

3845413699200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7795915 + ... + 8274485.

It is an arithmetic number, because the mean of its divisors is an integer number (30517100724).

Almost surely, 2^{3845413699200} is an apocalyptic number.

3845413699200 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 3845413699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7324104173760).

3845413699200 is an abundant number, since it is smaller than the sum of its proper divisors (10802794648320).

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

3845413699200 is a wasteful number, since it uses less digits than its factorization.

3845413699200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478638 (or 478612 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 3845413699200 in words is "three trillion, eight hundred forty-five billion, four hundred thirteen million, six hundred ninety-nine thousand, two hundred".