3456191970 has 576 divisors, whose sum is σ = 12575969280. Its totient is φ = 670602240.

The previous prime is 3456191933. The next prime is 3456191989. The reversal of 3456191970 is 791916543.

3456191970 is a `hidden beast` number, since 3 + 4 + 561 + 9 + 19 + 70 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27214047 + ... + 27214173.

It is an arithmetic number, because the mean of its divisors is an integer number (21833280).

Almost surely, 2^3456191970 is an apocalyptic number.

3456191970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3456191970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6287984640).

3456191970 is an abundant number, since it is smaller than the sum of its proper divisors (9119777310).

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

3456191970 is a wasteful number, since it uses less digits than its factorization.

3456191970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 3456191970 is about 58789.3865421302. The cubic root of 3456191970 is about 1511.9332532264.

The spelling of 3456191970 in words is "three billion, four hundred fifty-six million, one hundred ninety-one thousand, nine hundred seventy".