3429545676480 has 1120 divisors, whose sum is σ = 15418770808320. Its totient is φ = 702840913920.

The previous prime is 3429545676463. The next prime is 3429545676503. The reversal of 3429545676480 is 846765459243.

3429545676480 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 5 + 4 + 567 + 64 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 145684551 + ... + 145708089.

Almost surely, 2^{3429545676480} is an apocalyptic number.

3429545676480 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 3429545676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7709385404160).

3429545676480 is an abundant number, since it is smaller than the sum of its proper divisors (11989225131840).

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

3429545676480 is a wasteful number, since it uses less digits than its factorization.

3429545676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23659 (or 23640 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 3429545676480 in words is "three trillion, four hundred twenty-nine billion, five hundred forty-five million, six hundred seventy-six thousand, four hundred eighty".