3367913472 has 576 divisors, whose sum is σ = 12772468800. Its totient is φ = 867041280.

The previous prime is 3367913449. The next prime is 3367913477. The reversal of 3367913472 is 2743197633.

It is a happy number.

3367913472 is a `hidden beast` number, since 33 + 67 + 91 + 3 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3367913472² = 22685682309758189568, which contains 22 as substring.

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 (3367913477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29804488 + ... + 29804600.

It is an arithmetic number, because the mean of its divisors is an integer number (22174425).

Almost surely, 2^3367913472 is an apocalyptic number.

3367913472 is a gapful number since it is divisible by the number (32) 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 3367913472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386234400).

3367913472 is an abundant number, since it is smaller than the sum of its proper divisors (9404555328).

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

3367913472 is a wasteful number, since it uses less digits than its factorization.

3367913472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 136 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 3367913472 is about 58033.7270214485. The cubic root of 3367913472 is about 1498.9494083432.

The spelling of 3367913472 in words is "three billion, three hundred sixty-seven million, nine hundred thirteen thousand, four hundred seventy-two".