3494954880 has 576 divisors, whose sum is σ = 13374990720. Its totient is φ = 839393280.

The previous prime is 3494954861. The next prime is 3494954951. The reversal of 3494954880 is 884594943.

3494954880 is a `hidden beast` number, since 3 + 4 + 94 + 9 + 548 + 8 + 0 = 666.

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

It is a super-2 number, since 2×3494954880² = 24429419226471628800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 94458222 + ... + 94458258.

It is an arithmetic number, because the mean of its divisors is an integer number (23220470).

Almost surely, 2^3494954880 is an apocalyptic number.

3494954880 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 3494954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6687495360).

3494954880 is an abundant number, since it is smaller than the sum of its proper divisors (9880035840).

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

3494954880 is a wasteful number, since it uses less digits than its factorization.

3494954880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 3494954880 is about 59118.1434079251. The cubic root of 3494954880 is about 1517.5646134281.

The spelling of 3494954880 in words is "three billion, four hundred ninety-four million, nine hundred fifty-four thousand, eight hundred eighty".