3429584954880 has 320 divisors, whose sum is σ = 12647359802880. Its totient is φ = 776577613824.

The previous prime is 3429584954869. The next prime is 3429584954881. The reversal of 3429584954880 is 884594859243.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429584954881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5454216 + ... + 6050424.

It is an arithmetic number, because the mean of its divisors is an integer number (39522999384).

Almost surely, 2^{3429584954880} is an apocalyptic number.

3429584954880 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 3429584954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6323679901440).

3429584954880 is an abundant number, since it is smaller than the sum of its proper divisors (9217774848000).

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

3429584954880 is a wasteful number, since it uses less digits than its factorization.

3429584954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596349 (or 596333 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 69.

The spelling of 3429584954880 in words is "three trillion, four hundred twenty-nine billion, five hundred eighty-four million, nine hundred fifty-four thousand, eight hundred eighty".