3914749440 has 960 divisors, whose sum is σ = 17158901760. Its totient is φ = 836075520.

The previous prime is 3914749439. The next prime is 3914749453. The reversal of 3914749440 is 449474193.

3914749440 is a `hidden beast` number, since 3 + 91 + 474 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 126282225 + ... + 126282255.

It is an arithmetic number, because the mean of its divisors is an integer number (17873856).

Almost surely, 2^3914749440 is an apocalyptic number.

3914749440 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 3914749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8579450880).

3914749440 is an abundant number, since it is smaller than the sum of its proper divisors (13244152320).

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

3914749440 is an equidigital number, since it uses as much as digits as its factorization.

3914749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3914749440 is about 62567.9585730588. The cubic root of 3914749440 is about 1576.0427380682.

The spelling of 3914749440 in words is "three billion, nine hundred fourteen million, seven hundred forty-nine thousand, four hundred forty".