3845646090 has 192 divisors, whose sum is σ = 12021609600. Its totient is φ = 840430080.

The previous prime is 3845646083. The next prime is 3845646149. The reversal of 3845646090 is 906465483.

3845646090 is a `hidden beast` number, since 3 + 84 + 564 + 6 + 0 + 9 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 549936 + ... + 556884.

It is an arithmetic number, because the mean of its divisors is an integer number (62612550).

Almost surely, 2^3845646090 is an apocalyptic number.

3845646090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3845646090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010804800).

3845646090 is an abundant number, since it is smaller than the sum of its proper divisors (8175963510).

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

3845646090 is a wasteful number, since it uses less digits than its factorization.

3845646090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7029 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3845646090 is about 62013.2734985019. The cubic root of 3845646090 is about 1566.7141700299.

The spelling of 3845646090 in words is "three billion, eight hundred forty-five million, six hundred forty-six thousand, ninety".