3388204942164 has 90 divisors (see below), whose sum is σ = 10303549204410. Its totient is φ = 968058550368.

The previous prime is 3388204942159. The next prime is 3388204942169. The reversal of 3388204942164 is 4612494028833.

It is a happy number.

3388204942164 is a `hidden beast` number, since 3 + 3 + 8 + 8 + 204 + 9 + 421 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3388204942159) and next prime (3388204942169).

It can be written as a sum of positive squares in only one way, i.e., 2151772139664 + 1236432802500 = 1466892^2 + 1111950^2 .

It is a super-2 number, since 2×3388204942164² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3388204942164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3388204942169) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 106692519 + ... + 106724270.

It is an arithmetic number, because the mean of its divisors is an integer number (114483880049).

Almost surely, 2^{3388204942164} is an apocalyptic number.

It is an amenable number.

3388204942164 is an abundant number, since it is smaller than the sum of its proper divisors (6915344262246).

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

3388204942164 is a wasteful number, since it uses less digits than its factorization.

3388204942164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213416819 (or 213416801 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 3388204942164 in words is "three trillion, three hundred eighty-eight billion, two hundred four million, nine hundred forty-two thousand, one hundred sixty-four".