3378979296 has 288 divisors, whose sum is σ = 12686139648. Its totient is φ = 825937920.

The previous prime is 3378979291. The next prime is 3378979321. The reversal of 3378979296 is 6929798733.

3378979296 is a `hidden beast` number, since 3 + 378 + 97 + 92 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3378979296² = 22835002165593311232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378979291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372511 + ... + 381473.

It is an arithmetic number, because the mean of its divisors is an integer number (44049096).

Almost surely, 2^3378979296 is an apocalyptic number.

3378979296 is a gapful number since it is divisible by the number (36) 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 3378979296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343069824).

3378979296 is an abundant number, since it is smaller than the sum of its proper divisors (9307160352).

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

3378979296 is a wasteful number, since it uses less digits than its factorization.

3378979296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9014 (or 9003 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 63.

The square root of 3378979296 is about 58128.9884309025. The cubic root of 3378979296 is about 1500.5892937916.

The spelling of 3378979296 in words is "three billion, three hundred seventy-eight million, nine hundred seventy-nine thousand, two hundred ninety-six".