3187672560 has 240 divisors, whose sum is σ = 11532892800. Its totient is φ = 786433536.

The previous prime is 3187672529. The next prime is 3187672573. The reversal of 3187672560 is 652767813.

3187672560 is a `hidden beast` number, since 3 + 1 + 87 + 6 + 7 + 2 + 560 = 666.

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

It is a super-3 number, since 3×3187672560³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 585531 + ... + 590949.

It is an arithmetic number, because the mean of its divisors is an integer number (48053720).

Almost surely, 2^3187672560 is an apocalyptic number.

3187672560 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 3187672560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766446400).

3187672560 is an abundant number, since it is smaller than the sum of its proper divisors (8345220240).

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

3187672560 is a wasteful number, since it uses less digits than its factorization.

3187672560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5500 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3187672560 is about 56459.4771495451. The cubic root of 3187672560 is about 1471.7178861331.

The spelling of 3187672560 in words is "three billion, one hundred eighty-seven million, six hundred seventy-two thousand, five hundred sixty".