3205157472 has 192 divisors, whose sum is σ = 10241925120. Its totient is φ = 967104000.

The previous prime is 3205157471. The next prime is 3205157503. The reversal of 3205157472 is 2747515023.

3205157472 is a `hidden beast` number, since 3 + 2 + 0 + 515 + 74 + 72 = 666.

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 (3205157471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2784097 + ... + 2785247.

It is an arithmetic number, because the mean of its divisors is an integer number (53343360).

Almost surely, 2^3205157472 is an apocalyptic number.

3205157472 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 3205157472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120962560).

3205157472 is an abundant number, since it is smaller than the sum of its proper divisors (7036767648).

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

3205157472 is a wasteful number, since it uses less digits than its factorization.

3205157472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 3205157472 is about 56614.1101846527. The cubic root of 3205157472 is about 1474.4038532386.

The spelling of 3205157472 in words is "three billion, two hundred five million, one hundred fifty-seven thousand, four hundred seventy-two".