3388677178896 has 135 divisors (see below), whose sum is σ = 9548007719341. Its totient is φ = 1121937998592.

The previous prime is 3388677178877. The next prime is 3388677178907. The reversal of 3388677178896 is 6988717768833.

The square root of 3388677178896 is 1840836.

It is a perfect power (a square), and thus also a powerful number.

3388677178896 is a `hidden beast` number, since 3 + 388 + 6 + 7 + 71 + 7 + 88 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3140338410000 + 248338768896 = 1772100^2 + 498336^2 .

It is a super-2 number, since 2×3388677178896² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3954115300 + ... + 3954116156.

Almost surely, 2^{3388677178896} is an apocalyptic number.

3388677178896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3388677178896 is the 1840836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3388677178896

3388677178896 is an abundant number, since it is smaller than the sum of its proper divisors (6159330540445).

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

3388677178896 is an frugal number, since it uses more digits than its factorization.

3388677178896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 1041 counting only the distinct ones).

The product of its digits is 4096770048, while the sum is 81.

Multiplying 3388677178896 by its sum of digits (81), we get a square (274482851490576 = 16567524²).

The spelling of 3388677178896 in words is "three trillion, three hundred eighty-eight billion, six hundred seventy-seven million, one hundred seventy-eight thousand, eight hundred ninety-six".