3420960192 has 252 divisors, whose sum is σ = 10746266544. Its totient is φ = 1039933440.

The previous prime is 3420960187. The next prime is 3420960197. The reversal of 3420960192 is 2910690243.

3420960192 is a `hidden beast` number, since 3 + 42 + 0 + 9 + 601 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3420960187) and next prime (3420960197).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420960197) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10999717 + ... + 11000027.

Almost surely, 2^3420960192 is an apocalyptic number.

3420960192 is a gapful number since it is divisible by the number (32) 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 3420960192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5373133272).

3420960192 is an abundant number, since it is smaller than the sum of its proper divisors (7325306352).

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

3420960192 is a wasteful number, since it uses less digits than its factorization.

3420960192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3420960192 is about 58488.9749610984. The cubic root of 3420960192 is about 1506.7782414914.

The spelling of 3420960192 in words is "three billion, four hundred twenty million, nine hundred sixty thousand, one hundred ninety-two".