3438876960 has 144 divisors (see below), whose sum is σ = 12425560056. Its totient is φ = 863084544.

The previous prime is 3438876949. The next prime is 3438876967. The reversal of 3438876960 is 696788343.

It can be written as a sum of positive squares in 4 ways, for example, as 2436014736 + 1002862224 = 49356^2 + 31668^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3438876897 and 3438876906.

It is not an unprimeable number, because it can be changed into a prime (3438876967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45759 + ... + 94718.

Almost surely, 2^3438876960 is an apocalyptic number.

3438876960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3438876960 is an abundant number, since it is smaller than the sum of its proper divisors (8986683096).

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

3438876960 is a wasteful number, since it uses less digits than its factorization.

3438876960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140515 (or 140504 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3438876960 is about 58641.9385764147. The cubic root of 3438876960 is about 1509.4041711631.

The spelling of 3438876960 in words is "three billion, four hundred thirty-eight million, eight hundred seventy-six thousand, nine hundred sixty".