3429904642560 has 1920 divisors, whose sum is σ = 13945154952960. Its totient is φ = 808007270400.

The previous prime is 3429904642553. The next prime is 3429904642573. The reversal of 3429904642560 is 652464099243.

3429904642560 is a `hidden beast` number, since 3 + 42 + 9 + 90 + 464 + 2 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3429904642497 and 3429904642506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41324152279 + ... + 41324152361.

It is an arithmetic number, because the mean of its divisors is an integer number (7263101538).

Almost surely, 2^{3429904642560} is an apocalyptic number.

3429904642560 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 3429904642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6972577476480).

3429904642560 is an abundant number, since it is smaller than the sum of its proper divisors (10515250310400).

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

3429904642560 is an frugal number, since it uses more digits than its factorization.

3429904642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 3429904642560 in words is "three trillion, four hundred twenty-nine billion, nine hundred four million, six hundred forty-two thousand, five hundred sixty".