3426778440 has 256 divisors, whose sum is σ = 12413952000. Its totient is φ = 837630720.

The previous prime is 3426778387. The next prime is 3426778477. The reversal of 3426778440 is 448776243.

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

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 63 ways as a sum of consecutive naturals, for example, 633427 + ... + 638813.

It is an arithmetic number, because the mean of its divisors is an integer number (48492000).

Almost surely, 2^3426778440 is an apocalyptic number.

3426778440 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 3426778440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6206976000).

3426778440 is an abundant number, since it is smaller than the sum of its proper divisors (8987173560).

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

3426778440 is a wasteful number, since it uses less digits than its factorization.

3426778440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 3426778440 is about 58538.6918200262. The cubic root of 3426778440 is about 1507.6319827021.

The spelling of 3426778440 in words is "three billion, four hundred twenty-six million, seven hundred seventy-eight thousand, four hundred forty".