3472476480 has 560 divisors, whose sum is σ = 14206484160. Its totient is φ = 796262400.

The previous prime is 3472476473. The next prime is 3472476487. The reversal of 3472476480 is 846742743.

3472476480 is a `hidden beast` number, since 3 + 472 + 47 + 64 + 80 = 666.

3472476480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3472476473) and next prime (3472476487).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3472476487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5416960 + ... + 5417600.

Almost surely, 2^3472476480 is an apocalyptic number.

3472476480 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 3472476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103242080).

3472476480 is an abundant number, since it is smaller than the sum of its proper divisors (10734007680).

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

3472476480 is a wasteful number, since it uses less digits than its factorization.

3472476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 3472476480 is about 58927.7225081710. The cubic root of 3472476480 is about 1514.3041211548.

The spelling of 3472476480 in words is "three billion, four hundred seventy-two million, four hundred seventy-six thousand, four hundred eighty".