3472088880 has 320 divisors, whose sum is σ = 12539197440. Its totient is φ = 787304448.

The previous prime is 3472088869. The next prime is 3472088881. The reversal of 3472088880 is 888802743.

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

It is not an unprimeable number, because it can be changed into a prime (3472088881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2192569 + ... + 2194151.

It is an arithmetic number, because the mean of its divisors is an integer number (39184992).

Almost surely, 2^3472088880 is an apocalyptic number.

3472088880 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 3472088880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6269598720).

3472088880 is an abundant number, since it is smaller than the sum of its proper divisors (9067108560).

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

3472088880 is a wasteful number, since it uses less digits than its factorization.

3472088880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 3472088880 is about 58924.4336417415. The cubic root of 3472088880 is about 1514.2477765335.

The spelling of 3472088880 in words is "three billion, four hundred seventy-two million, eighty-eight thousand, eight hundred eighty".