3207473280 has 768 divisors, whose sum is σ = 13198049280. Its totient is φ = 709632000.

The previous prime is 3207473263. The next prime is 3207473281. The reversal of 3207473280 is 823747023.

3207473280 is a `hidden beast` number, since 320 + 7 + 4 + 7 + 328 + 0 = 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 (3207473281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45175645 + ... + 45175715.

It is an arithmetic number, because the mean of its divisors is an integer number (17184960).

Almost surely, 2^3207473280 is an apocalyptic number.

3207473280 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 3207473280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599024640).

3207473280 is an abundant number, since it is smaller than the sum of its proper divisors (9990576000).

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

3207473280 is a wasteful number, since it uses less digits than its factorization.

3207473280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3207473280 is about 56634.5590607007. The cubic root of 3207473280 is about 1474.7588658768.

The spelling of 3207473280 in words is "three billion, two hundred seven million, four hundred seventy-three thousand, two hundred eighty".