30377841966 has 80 divisors (see below), whose sum is σ = 70737955200. Its totient is φ = 9733296960.

The previous prime is 30377841941. The next prime is 30377841979. The reversal of 30377841966 is 66914877303.

30377841966 is a `hidden beast` number, since 3 + 0 + 377 + 84 + 196 + 6 = 666.

It is a super-2 number, since 2×30377841966² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 727980 + ... + 768576.

It is an arithmetic number, because the mean of its divisors is an integer number (884224440).

Almost surely, 2^30377841966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30377841966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35368977600).

30377841966 is an abundant number, since it is smaller than the sum of its proper divisors (40360113234).

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

30377841966 is a wasteful number, since it uses less digits than its factorization.

30377841966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40791 (or 40782 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

It can be divided in two parts, 303778 and 41966, that added together give a square (345744 = 588²).

The spelling of 30377841966 in words is "thirty billion, three hundred seventy-seven million, eight hundred forty-one thousand, nine hundred sixty-six".