3914413440 has 256 divisors, whose sum is σ = 15011136000. Its totient is φ = 847577088.

The previous prime is 3914413411. The next prime is 3914413441. The reversal of 3914413440 is 443144193.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3914413441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247696 + ... + 263024.

It is an arithmetic number, because the mean of its divisors is an integer number (58637250).

Almost surely, 2^3914413440 is an apocalyptic number.

3914413440 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 3914413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7505568000).

3914413440 is an abundant number, since it is smaller than the sum of its proper divisors (11096722560).

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

3914413440 is a wasteful number, since it uses less digits than its factorization.

3914413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15377 (or 15365 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3914413440 is about 62565.2734350294. The cubic root of 3914413440 is about 1575.9976465905.

The spelling of 3914413440 in words is "three billion, nine hundred fourteen million, four hundred thirteen thousand, four hundred forty".