3478221072 has 120 divisors (see below), whose sum is σ = 9903886200. Its totient is φ = 1139318784.

The previous prime is 3478221031. The next prime is 3478221077. The reversal of 3478221072 is 2701228743.

It can be written as a sum of positive squares in 4 ways, for example, as 2088124416 + 1390096656 = 45696^2 + 37284^2 .

It is a super-3 number, since 3×3478221072³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3478221077) 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, 4299004 + ... + 4299812.

It is an arithmetic number, because the mean of its divisors is an integer number (82532385).

Almost surely, 2^3478221072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3478221072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4951943100).

3478221072 is an abundant number, since it is smaller than the sum of its proper divisors (6425665128).

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

3478221072 is a wasteful number, since it uses less digits than its factorization.

3478221072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 3478221072 is about 58976.4450607189. The cubic root of 3478221072 is about 1515.1387096472.

The spelling of 3478221072 in words is "three billion, four hundred seventy-eight million, two hundred twenty-one thousand, seventy-two".