3612660480 has 1152 divisors, whose sum is σ = 16317987840. Its totient is φ = 743178240.

The previous prime is 3612660461. The next prime is 3612660509. The reversal of 3612660480 is 840662163.

3612660480 is a `hidden beast` number, since 36 + 12 + 6 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84015339 + ... + 84015381.

It is an arithmetic number, because the mean of its divisors is an integer number (14164920).

Almost surely, 2^3612660480 is an apocalyptic number.

3612660480 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 3612660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158993920).

3612660480 is an abundant number, since it is smaller than the sum of its proper divisors (12705327360).

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

3612660480 is a wasteful number, since it uses less digits than its factorization.

3612660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3612660480 is about 60105.4114036332. The cubic root of 3612660480 is about 1534.4134007615.

The spelling of 3612660480 in words is "three billion, six hundred twelve million, six hundred sixty thousand, four hundred eighty".