3473262720 has 384 divisors, whose sum is σ = 12793248000. Its totient is φ = 890523648.

The previous prime is 3473262701. The next prime is 3473262763. The reversal of 3473262720 is 272623743.

3473262720 is a `hidden beast` number, since 3 + 4 + 7 + 3 + 2 + 627 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 14532361 + ... + 14532599.

It is an arithmetic number, because the mean of its divisors is an integer number (33315750).

Almost surely, 2^3473262720 is an apocalyptic number.

3473262720 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 3473262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396624000).

3473262720 is an abundant number, since it is smaller than the sum of its proper divisors (9319985280).

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

3473262720 is a wasteful number, since it uses less digits than its factorization.

3473262720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 3473262720 is about 58934.3933539661. The cubic root of 3473262720 is about 1514.4184023824.

The spelling of 3473262720 in words is "three billion, four hundred seventy-three million, two hundred sixty-two thousand, seven hundred twenty".