3814232064 has 312 divisors, whose sum is σ = 11712474720. Its totient is φ = 1097072640.

The previous prime is 3814232063. The next prime is 3814232069. The reversal of 3814232064 is 4602324183.

It is not an unprimeable number, because it can be changed into a prime (3814232063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123039729 + ... + 123039759.

Almost surely, 2^3814232064 is an apocalyptic number.

3814232064 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 3814232064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856237360).

3814232064 is an abundant number, since it is smaller than the sum of its proper divisors (7898242656).

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

3814232064 is a wasteful number, since it uses less digits than its factorization.

3814232064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 3814232064 is about 61759.4694277728. The cubic root of 3814232064 is about 1562.4364818894.

The spelling of 3814232064 in words is "three billion, eight hundred fourteen million, two hundred thirty-two thousand, sixty-four".