3914514432 has 120 divisors (see below), whose sum is σ = 11599518000. Its totient is φ = 1304690688.

The previous prime is 3914514421. The next prime is 3914514437. The reversal of 3914514432 is 2344154193.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3914514437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437944 + ... + 446792.

It is an arithmetic number, because the mean of its divisors is an integer number (96662650).

Almost surely, 2^3914514432 is an apocalyptic number.

3914514432 is a gapful number since it is divisible by the number (32) 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 3914514432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5799759000).

3914514432 is an abundant number, since it is smaller than the sum of its proper divisors (7685003568).

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

3914514432 is an frugal number, since it uses more digits than its factorization.

3914514432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8886 (or 8854 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3914514432 is about 62566.0805229159. The cubic root of 3914514432 is about 1576.0112000716.

The spelling of 3914514432 in words is "three billion, nine hundred fourteen million, five hundred fourteen thousand, four hundred thirty-two".