3396177720 has 672 divisors, whose sum is σ = 13529416320. Its totient is φ = 761425920.

The previous prime is 3396177713. The next prime is 3396177721. The reversal of 3396177720 is 277716933.

3396177720 is a `hidden beast` number, since 3 + 3 + 9 + 617 + 7 + 7 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3396177721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 109554105 + ... + 109554135.

It is an arithmetic number, because the mean of its divisors is an integer number (20133060).

Almost surely, 2^3396177720 is an apocalyptic number.

3396177720 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 3396177720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764708160).

3396177720 is an abundant number, since it is smaller than the sum of its proper divisors (10133238600).

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

3396177720 is a wasteful number, since it uses less digits than its factorization.

3396177720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 3396177720 is about 58276.7339510374. The cubic root of 3396177720 is about 1503.1309004282.

The spelling of 3396177720 in words is "three billion, three hundred ninety-six million, one hundred seventy-seven thousand, seven hundred twenty".