3388336380 has 288 divisors, whose sum is σ = 12481358400. Its totient is φ = 758039040.

The previous prime is 3388336339. The next prime is 3388336381. The reversal of 3388336380 is 836338833.

3388336380 is a `hidden beast` number, since 3 + 3 + 8 + 8 + 3 + 3 + 638 + 0 = 666.

It is a super-2 number, since 2×3388336380² = 22961646848063008800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (3388336381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 847426 + ... + 851414.

It is an arithmetic number, because the mean of its divisors is an integer number (43338050).

Almost surely, 2^3388336380 is an apocalyptic number.

3388336380 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 3388336380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6240679200).

3388336380 is an abundant number, since it is smaller than the sum of its proper divisors (9093022020).

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

3388336380 is a wasteful number, since it uses less digits than its factorization.

3388336380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4042 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3388336380 is about 58209.4183100982. The cubic root of 3388336380 is about 1501.9731632797.

The spelling of 3388336380 in words is "three billion, three hundred eighty-eight million, three hundred thirty-six thousand, three hundred eighty".