3845425920 has 432 divisors, whose sum is σ = 14495459328. Its totient is φ = 866181120.

The previous prime is 3845425919. The next prime is 3845425943. The reversal of 3845425920 is 295245483.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 20133025 + ... + 20133215.

It is an arithmetic number, because the mean of its divisors is an integer number (33554304).

Almost surely, 2^3845425920 is an apocalyptic number.

3845425920 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 3845425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7247729664).

3845425920 is an abundant number, since it is smaller than the sum of its proper divisors (10650033408).

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

3845425920 is a wasteful number, since it uses less digits than its factorization.

3845425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 3845425920 is about 62011.4982886239. The cubic root of 3845425920 is about 1566.6842704123.

The spelling of 3845425920 in words is "three billion, eight hundred forty-five million, four hundred twenty-five thousand, nine hundred twenty".