3846610944 has 560 divisors, whose sum is σ = 13701954816. Its totient is φ = 1061683200.

The previous prime is 3846610931. The next prime is 3846610987. The reversal of 3846610944 is 4490166483.

It is a super-2 number, since 2×3846610944² = 29592831509001142272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3846610944.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 124084209 + ... + 124084239.

Almost surely, 2^3846610944 is an apocalyptic number.

3846610944 is a gapful number since it is divisible by the number (34) 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 3846610944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6850977408).

3846610944 is an abundant number, since it is smaller than the sum of its proper divisors (9855343872).

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

3846610944 is a wasteful number, since it uses less digits than its factorization.

3846610944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3846610944 is about 62021.0524257691. The cubic root of 3846610944 is about 1566.8451860754.

The spelling of 3846610944 in words is "three billion, eight hundred forty-six million, six hundred ten thousand, nine hundred forty-four".