3484796350464 has 624 divisors, whose sum is σ = 12020717645664. Its totient is φ = 958699929600.

The previous prime is 3484796350369. The next prime is 3484796350487. The reversal of 3484796350464 is 4640536974843.

3484796350464 is a `hidden beast` number, since 3 + 4 + 8 + 4 + 7 + 9 + 63 + 504 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321559254 + ... + 321570090.

It is an arithmetic number, because the mean of its divisors is an integer number (19263970586).

Almost surely, 2^{3484796350464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3484796350464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010358822832).

3484796350464 is an abundant number, since it is smaller than the sum of its proper divisors (8535921295200).

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

3484796350464 is a wasteful number, since it uses less digits than its factorization.

3484796350464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10952 (or 10927 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 3484796350464 in words is "three trillion, four hundred eighty-four billion, seven hundred ninety-six million, three hundred fifty thousand, four hundred sixty-four".