3388636944 has 525 divisors, whose sum is σ = 12622535639. Its totient is φ = 880165440.

The previous prime is 3388636907. The next prime is 3388636949. The reversal of 3388636944 is 4496368833.

The square root of 3388636944 is 58212.

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

It is a super-2 number, since 2×3388636944² = 22965720676483318272, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3388636949) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 308057899 + ... + 308057909.

Almost surely, 2^3388636944 is an apocalyptic number.

3388636944 is the 58212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3388636944

3388636944 is an abundant number, since it is smaller than the sum of its proper divisors (9233898695).

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

3388636944 is an frugal number, since it uses more digits than its factorization.

3388636944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 23 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The cubic root of 3388636944 is about 1502.0175730493.

The spelling of 3388636944 in words is "three billion, three hundred eighty-eight million, six hundred thirty-six thousand, nine hundred forty-four".