3354949248 has 384 divisors, whose sum is σ = 10958227200. Its totient is φ = 905748480.

The previous prime is 3354949193. The next prime is 3354949277. The reversal of 3354949248 is 8429494533.

3354949248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3354949248² = 22511368913311531008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3354949248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42467673 + ... + 42467751.

It is an arithmetic number, because the mean of its divisors is an integer number (28537050).

Almost surely, 2^3354949248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3354949248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5479113600).

3354949248 is an abundant number, since it is smaller than the sum of its proper divisors (7603277952).

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

3354949248 is a wasteful number, since it uses less digits than its factorization.

3354949248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 189 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 51.

The square root of 3354949248 is about 57921.9237249593. The cubic root of 3354949248 is about 1497.0236162216.

The spelling of 3354949248 in words is "three billion, three hundred fifty-four million, nine hundred forty-nine thousand, two hundred forty-eight".