3675304560 has 240 divisors, whose sum is σ = 11975483520. Its totient is φ = 932305920.

The previous prime is 3675304559. The next prime is 3675304583. The reversal of 3675304560 is 654035763.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 26440971 + ... + 26441109.

It is an arithmetic number, because the mean of its divisors is an integer number (49897848).

Almost surely, 2^3675304560 is an apocalyptic number.

3675304560 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 3675304560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987741760).

3675304560 is an abundant number, since it is smaller than the sum of its proper divisors (8300178960).

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

3675304560 is a wasteful number, since it uses less digits than its factorization.

3675304560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 39.

The square root of 3675304560 is about 60624.2901814116. The cubic root of 3675304560 is about 1543.2316127101.

The spelling of 3675304560 in words is "three billion, six hundred seventy-five million, three hundred four thousand, five hundred sixty".