3476777472 has 640 divisors, whose sum is σ = 12989644800. Its totient is φ = 895795200.

The previous prime is 3476777471. The next prime is 3476777489. The reversal of 3476777472 is 2747776743.

It is a happy number.

3476777472 is a `hidden beast` number, since 3 + 47 + 67 + 77 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3476777471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56996322 + ... + 56996382.

It is an arithmetic number, because the mean of its divisors is an integer number (20296320).

Almost surely, 2^3476777472 is an apocalyptic number.

3476777472 is a gapful number since it is divisible by the number (32) 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 3476777472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6494822400).

3476777472 is an abundant number, since it is smaller than the sum of its proper divisors (9512867328).

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

3476777472 is a wasteful number, since it uses less digits than its factorization.

3476777472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its digits is 9680832, while the sum is 54.

The square root of 3476777472 is about 58964.2050060882. The cubic root of 3476777472 is about 1514.9290663779.

The spelling of 3476777472 in words is "three billion, four hundred seventy-six million, seven hundred seventy-seven thousand, four hundred seventy-two".