3378872448 has 256 divisors, whose sum is σ = 11998464000. Its totient is φ = 914457600.

The previous prime is 3378872437. The next prime is 3378872503. The reversal of 3378872448 is 8442788733.

It is a super-2 number, since 2×3378872448² = 22833558039707025408, 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 a junction number, because it is equal to n+sod(n) for n = 3378872394 and 3378872403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455973 + ... + 463323.

It is an arithmetic number, because the mean of its divisors is an integer number (46869000).

Almost surely, 2^3378872448 is an apocalyptic number.

3378872448 is a gapful number since it is divisible by the number (38) 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 3378872448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999232000).

3378872448 is an abundant number, since it is smaller than the sum of its proper divisors (8619591552).

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

3378872448 is a wasteful number, since it uses less digits than its factorization.

3378872448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7400 (or 7382 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 3378872448 is about 58128.0693641205. The cubic root of 3378872448 is about 1500.5734767217.

It can be divided in two parts, 3378 and 872448, that added together give a triangular number (875826 = T₁₃₂₃).

The spelling of 3378872448 in words is "three billion, three hundred seventy-eight million, eight hundred seventy-two thousand, four hundred forty-eight".