1966349700 has 216 divisors, whose sum is σ = 7112169792. Its totient is φ = 445098240.

The previous prime is 1966349687. The next prime is 1966349711. The reversal of 1966349700 is 79436691.

1966349700 is a `hidden beast` number, since 1 + 9 + 6 + 634 + 9 + 7 + 0 + 0 = 666.

It is a super-2 number, since 2×1966349700² = 7733062285380180000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 672642 + ... + 675558.

It is an arithmetic number, because the mean of its divisors is an integer number (32926712).

Almost surely, 2^1966349700 is an apocalyptic number.

1966349700 is a gapful number since it is divisible by the number (10) 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 1966349700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556084896).

1966349700 is an abundant number, since it is smaller than the sum of its proper divisors (5145820092).

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

1966349700 is a wasteful number, since it uses less digits than its factorization.

1966349700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1966349700 is about 44343.5418071223. The cubic root of 1966349700 is about 1252.8149255304.

The spelling of 1966349700 in words is "one billion, nine hundred sixty-six million, three hundred forty-nine thousand, seven hundred".