3612862080 has 192 divisors, whose sum is σ = 13018561920. Its totient is φ = 921507840.

The previous prime is 3612862069. The next prime is 3612862081. The reversal of 3612862080 is 802682163.

3612862080 is a `hidden beast` number, since 3 + 6 + 1 + 28 + 620 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3612862081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118845 + ... + 146115.

It is an arithmetic number, because the mean of its divisors is an integer number (67805010).

Almost surely, 2^3612862080 is an apocalyptic number.

3612862080 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 3612862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6509280960).

3612862080 is an abundant number, since it is smaller than the sum of its proper divisors (9405699840).

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

3612862080 is a wasteful number, since it uses less digits than its factorization.

3612862080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27319 (or 27304 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3612862080 is about 60107.0884338944. The cubic root of 3612862080 is about 1534.4419422375.

The spelling of 3612862080 in words is "three billion, six hundred twelve million, eight hundred sixty-two thousand, eighty".