3913385280 has 448 divisors, whose sum is σ = 15063459840. Its totient is φ = 841752576.

The previous prime is 3913385263. The next prime is 3913385303. The reversal of 3913385280 is 825833193.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8379607 + ... + 8380073.

Almost surely, 2^3913385280 is an apocalyptic number.

3913385280 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 3913385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7531729920).

3913385280 is an abundant number, since it is smaller than the sum of its proper divisors (11150074560).

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

3913385280 is a wasteful number, since it uses less digits than its factorization.

3913385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 3913385280 is about 62557.0561967233. The cubic root of 3913385280 is about 1575.8596506382.

The spelling of 3913385280 in words is "three billion, nine hundred thirteen million, three hundred eighty-five thousand, two hundred eighty".