3423674880 has 240 divisors, whose sum is σ = 12556064664. Its totient is φ = 859176960.

The previous prime is 3423674879. The next prime is 3423674893. The reversal of 3423674880 is 884763243.

It can be written as a sum of positive squares in 4 ways, for example, as 2672476416 + 751198464 = 51696^2 + 27408^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387310 + ... + 396050.

Almost surely, 2^3423674880 is an apocalyptic number.

3423674880 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 3423674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6278032332).

3423674880 is an abundant number, since it is smaller than the sum of its proper divisors (9132389784).

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

3423674880 is a wasteful number, since it uses less digits than its factorization.

3423674880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8787 (or 8768 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3423674880 is about 58512.1771941534. The cubic root of 3423674880 is about 1507.1767018725.

The spelling of 3423674880 in words is "three billion, four hundred twenty-three million, six hundred seventy-four thousand, eight hundred eighty".