3438403776 has 112 divisors (see below), whose sum is σ = 10198303200. Its totient is φ = 1135927296.

The previous prime is 3438403741. The next prime is 3438403811. The reversal of 3438403776 is 6773048343.

It is an interprime number because it is at equal distance from previous prime (3438403741) and next prime (3438403811).

It is a super-2 number, since 2×3438403776² = 23645241053622116352, which contains 22 as substring.

It is a zygodrome in base 2.

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, 186460 + ... + 204068.

Almost surely, 2^3438403776 is an apocalyptic number.

3438403776 is a gapful number since it is divisible by the number (36) 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 3438403776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099151600).

3438403776 is an abundant number, since it is smaller than the sum of its proper divisors (6759899424).

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

3438403776 is a wasteful number, since it uses less digits than its factorization.

3438403776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17743 (or 17727 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The square root of 3438403776 is about 58637.9039188817. The cubic root of 3438403776 is about 1509.3349374498.

The spelling of 3438403776 in words is "three billion, four hundred thirty-eight million, four hundred three thousand, seven hundred seventy-six".