3472627040 has 192 divisors, whose sum is σ = 8778792960. Its totient is φ = 1296046080.

The previous prime is 3472627027. The next prime is 3472627051. The reversal of 3472627040 is 407262743.

3472627040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 58929²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27343457 + ... + 27343583.

It is an arithmetic number, because the mean of its divisors is an integer number (45722880).

Almost surely, 2^3472627040 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 3472627040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389396480).

3472627040 is an abundant number, since it is smaller than the sum of its proper divisors (5306165920).

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

3472627040 is a wasteful number, since it uses less digits than its factorization.

3472627040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 35.

The square root of 3472627040 is about 58928.9999915152. Note that the first 5 decimals coincide. The cubic root of 3472627040 is about 1514.3260066242.

Adding to 3472627040 its reverse (407262743), we get a palindrome (3879889783).

The spelling of 3472627040 in words is "three billion, four hundred seventy-two million, six hundred twenty-seven thousand, forty".