3914334720 has 400 divisors, whose sum is σ = 14378633280. Its totient is φ = 1017225216.

The previous prime is 3914334707. The next prime is 3914334727. The reversal of 3914334720 is 274334193.

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 (3914334727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8916261 + ... + 8916699.

Almost surely, 2^3914334720 is an apocalyptic number.

3914334720 is a gapful number since it is divisible by the number (30) 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 3914334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7189316640).

3914334720 is an abundant number, since it is smaller than the sum of its proper divisors (10464298560).

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

3914334720 is an equidigital number, since it uses as much as digits as its factorization.

3914334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3914334720 is about 62564.6443288859. The cubic root of 3914334720 is about 1575.9870819284.

The spelling of 3914334720 in words is "three billion, nine hundred fourteen million, three hundred thirty-four thousand, seven hundred twenty".