3411848299464 has 480 divisors, whose sum is σ = 11137664039040. Its totient is φ = 971702645760.

The previous prime is 3411848299399. The next prime is 3411848299487. The reversal of 3411848299464 is 4649928481143.

3411848299464 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 8 + 4 + 82 + 99 + 464 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1288947789 + ... + 1288950435.

It is an arithmetic number, because the mean of its divisors is an integer number (23203466748).

Almost surely, 2^{3411848299464} is an apocalyptic number.

3411848299464 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 3411848299464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568832019520).

3411848299464 is an abundant number, since it is smaller than the sum of its proper divisors (7725815739576).

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

3411848299464 is a wasteful number, since it uses less digits than its factorization.

3411848299464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3647 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 3411848299464 in words is "three trillion, four hundred eleven billion, eight hundred forty-eight million, two hundred ninety-nine thousand, four hundred sixty-four".