3438785280 has 144 divisors (see below), whose sum is σ = 12551664384. Its totient is φ = 786001920.

The previous prime is 3438785257. The next prime is 3438785299. The reversal of 3438785280 is 825878343.

3438785280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 37086 + ... + 90845.

It is an arithmetic number, because the mean of its divisors is an integer number (87164336).

Almost surely, 2^3438785280 is an apocalyptic number.

3438785280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3438785280 is an abundant number, since it is smaller than the sum of its proper divisors (9112879104).

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

3438785280 is a wasteful number, since it uses less digits than its factorization.

3438785280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127962 (or 127948 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 3438785280 is about 58641.1568780835. The cubic root of 3438785280 is about 1509.3907575395.

The spelling of 3438785280 in words is "three billion, four hundred thirty-eight million, seven hundred eighty-five thousand, two hundred eighty".