3477504960 has 224 divisors, whose sum is σ = 12421819200. Its totient is φ = 927148032.

The previous prime is 3477504931. The next prime is 3477504991. The reversal of 3477504960 is 694057743.

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

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, 697356 + ... + 702324.

It is an arithmetic number, because the mean of its divisors is an integer number (55454550).

Almost surely, 2^3477504960 is an apocalyptic number.

3477504960 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 3477504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6210909600).

3477504960 is an abundant number, since it is smaller than the sum of its proper divisors (8944314240).

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

3477504960 is an frugal number, since it uses more digits than its factorization.

3477504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3477504960 is about 58970.3735786030. The cubic root of 3477504960 is about 1515.0347212903.

The spelling of 3477504960 in words is "three billion, four hundred seventy-seven million, five hundred four thousand, nine hundred sixty".