3429123070464 has 720 divisors, whose sum is σ = 12968245996992. Its totient is φ = 851162038272.

The previous prime is 3429123070459. The next prime is 3429123070553. The reversal of 3429123070464 is 4640703219243.

3429123070464 is a `hidden beast` number, since 3 + 4 + 2 + 91 + 2 + 30 + 70 + 464 = 666.

It is a super-2 number, since 2×3429123070464² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92652987 + ... + 92689989.

Almost surely, 2^{3429123070464} is an apocalyptic number.

3429123070464 is a gapful number since it is divisible by the number (34) 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 3429123070464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484122998496).

3429123070464 is an abundant number, since it is smaller than the sum of its proper divisors (9539122926528).

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

3429123070464 is a wasteful number, since it uses less digits than its factorization.

3429123070464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37077 (or 37045 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3429123070464 in words is "three trillion, four hundred twenty-nine billion, one hundred twenty-three million, seventy thousand, four hundred sixty-four".