3845774880 has 72 divisors (see below), whose sum is σ = 13123711692. Its totient is φ = 1025539584.

The previous prime is 3845774873. The next prime is 3845774887. The reversal of 3845774880 is 884775483.

It is a happy number.

3845774880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3845774873) and next prime (3845774887).

It can be written as a sum of positive squares in 2 ways, for example, as 3764558736 + 81216144 = 61356^2 + 9012^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (3845774887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1333899 + ... + 1336778.

Almost surely, 2^3845774880 is an apocalyptic number.

3845774880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3845774880 is an abundant number, since it is smaller than the sum of its proper divisors (9277936812).

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

3845774880 is a wasteful number, since it uses less digits than its factorization.

3845774880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670698 (or 2670687 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The square root of 3845774880 is about 62014.3118965292. The cubic root of 3845774880 is about 1566.7316594938.

The spelling of 3845774880 in words is "three billion, eight hundred forty-five million, seven hundred seventy-four thousand, eight hundred eighty".