3472450560 has 264 divisors, whose sum is σ = 12482049216. Its totient is φ = 925655040.

The previous prime is 3472450547. The next prime is 3472450577. The reversal of 3472450560 is 650542743.

3472450560 is a `hidden beast` number, since 3 + 47 + 2 + 4 + 50 + 560 = 666.

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 23 ways as a sum of consecutive naturals, for example, 1242765 + ... + 1245555.

Almost surely, 2^3472450560 is an apocalyptic number.

3472450560 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 3472450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241024608).

3472450560 is an abundant number, since it is smaller than the sum of its proper divisors (9009598656).

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

3472450560 is an equidigital number, since it uses as much as digits as its factorization.

3472450560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 3472450560 is about 58927.5025773195. The cubic root of 3472450560 is about 1514.3003533481.

The spelling of 3472450560 in words is "three billion, four hundred seventy-two million, four hundred fifty thousand, five hundred sixty".