3458888334720 has 960 divisors, whose sum is σ = 15286652108640. Its totient is φ = 729774489600.

The previous prime is 3458888334709. The next prime is 3458888334761. The reversal of 3458888334720 is 274338888543.

3458888334720 is a `hidden beast` number, since 3 + 4 + 5 + 8 + 88 + 83 + 3 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

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, 61298520 + ... + 61354920.

Almost surely, 2^{3458888334720} is an apocalyptic number.

3458888334720 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 3458888334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7643326054320).

3458888334720 is an abundant number, since it is smaller than the sum of its proper divisors (11827763773920).

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

3458888334720 is a wasteful number, since it uses less digits than its factorization.

3458888334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56465 (or 56431 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 3458888334720 in words is "three trillion, four hundred fifty-eight billion, eight hundred eighty-eight million, three hundred thirty-four thousand, seven hundred twenty".