3472414560 has 288 divisors, whose sum is σ = 12705245280. Its totient is φ = 860504064.

The previous prime is 3472414541. The next prime is 3472414609. The reversal of 3472414560 is 654142743.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2030986 + ... + 2032694.

It is an arithmetic number, because the mean of its divisors is an integer number (44115435).

Almost surely, 2^3472414560 is an apocalyptic number.

3472414560 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 3472414560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352622640).

3472414560 is an abundant number, since it is smaller than the sum of its proper divisors (9232830720).

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

3472414560 is a wasteful number, since it uses less digits than its factorization.

3472414560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3472414560 is about 58927.1971164419. The cubic root of 3472414560 is about 1514.2951202521.

It can be divided in two parts, 34724 and 14560, that added together give a square (49284 = 222²).

The spelling of 3472414560 in words is "three billion, four hundred seventy-two million, four hundred fourteen thousand, five hundred sixty".