3388772700 has 180 divisors, whose sum is σ = 11021638320. Its totient is φ = 900668160.

The previous prime is 3388772693. The next prime is 3388772749. The reversal of 3388772700 is 72778833.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×3388772700² = 22967560824530580000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 3555424 + ... + 3556376.

It is an arithmetic number, because the mean of its divisors is an integer number (61231324).

Almost surely, 2^3388772700 is an apocalyptic number.

3388772700 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 3388772700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5510819160).

3388772700 is an abundant number, since it is smaller than the sum of its proper divisors (7632865620).

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

3388772700 is a wasteful number, since it uses less digits than its factorization.

3388772700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 3388772700 is about 58213.1660365591. The cubic root of 3388772700 is about 1502.0376307872.

The spelling of 3388772700 in words is "three billion, three hundred eighty-eight million, seven hundred seventy-two thousand, seven hundred".