3914465280 has 288 divisors, whose sum is σ = 13740487488. Its totient is φ = 943718400.

The previous prime is 3914465273. The next prime is 3914465293. The reversal of 3914465280 is 825644193.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21626790 + ... + 21626970.

It is an arithmetic number, because the mean of its divisors is an integer number (47710026).

Almost surely, 2^3914465280 is an apocalyptic number.

3914465280 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 3914465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6870243744).

3914465280 is an abundant number, since it is smaller than the sum of its proper divisors (9826022208).

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

3914465280 is an equidigital number, since it uses as much as digits as its factorization.

3914465280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3914465280 is about 62565.6877209865. The cubic root of 3914465280 is about 1576.0046037297.

The spelling of 3914465280 in words is "three billion, nine hundred fourteen million, four hundred sixty-five thousand, two hundred eighty".