3472625520 has 720 divisors, whose sum is σ = 15066035712. Its totient is φ = 727833600.

The previous prime is 3472625509. The next prime is 3472625521. The reversal of 3472625520 is 255262743.

3472625520 is a `hidden beast` number, since 3 + 4 + 7 + 2 + 625 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3472625521) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22997445 + ... + 22997595.

Almost surely, 2^3472625520 is an apocalyptic number.

3472625520 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 3472625520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7533017856).

3472625520 is an abundant number, since it is smaller than the sum of its proper divisors (11593410192).

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

3472625520 is a wasteful number, since it uses less digits than its factorization.

3472625520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 181 counting only the distinct ones).

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

The square root of 3472625520 is about 58928.9870946379. The cubic root of 3472625520 is about 1514.3257856795.

The spelling of 3472625520 in words is "three billion, four hundred seventy-two million, six hundred twenty-five thousand, five hundred twenty".