3934279440 has 720 divisors, whose sum is σ = 16991769600. Its totient is φ = 797921280.

The previous prime is 3934279439. The next prime is 3934279457. The reversal of 3934279440 is 449724393.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26404486 + ... + 26404634.

It is an arithmetic number, because the mean of its divisors is an integer number (23599680).

Almost surely, 2^3934279440 is an apocalyptic number.

3934279440 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 3934279440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8495884800).

3934279440 is an abundant number, since it is smaller than the sum of its proper divisors (13057490160).

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

3934279440 is a wasteful number, since it uses less digits than its factorization.

3934279440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3934279440 is about 62723.8347042016. The cubic root of 3934279440 is about 1578.6592589127.

The spelling of 3934279440 in words is "three billion, nine hundred thirty-four million, two hundred seventy-nine thousand, four hundred forty".