3616375680 has 512 divisors, whose sum is σ = 13614796800. Its totient is φ = 905748480.

The previous prime is 3616375657. The next prime is 3616375691. The reversal of 3616375680 is 865736163.

3616375680 is a `hidden beast` number, since 3 + 6 + 1 + 637 + 5 + 6 + 8 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 23034162 + ... + 23034318.

It is an arithmetic number, because the mean of its divisors is an integer number (26591400).

Almost surely, 2^3616375680 is an apocalyptic number.

3616375680 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 3616375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807398400).

3616375680 is an abundant number, since it is smaller than the sum of its proper divisors (9998421120).

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

3616375680 is a wasteful number, since it uses less digits than its factorization.

3616375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3616375680 is about 60136.3091650959. The cubic root of 3616375680 is about 1534.9392089723.

The spelling of 3616375680 in words is "three billion, six hundred sixteen million, three hundred seventy-five thousand, six hundred eighty".