3335454720000 has 1600 divisors, whose sum is σ = 13758142860000. Its totient is φ = 792723456000.

The previous prime is 3335454719969. The next prime is 3335454720049. The reversal of 3335454720000 is 274545333.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-2 number, since 2×3335454720000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 115015679986 + ... + 115015680014.

Almost surely, 2^{3335454720000} is an apocalyptic number.

3335454720000 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 3335454720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879071430000).

3335454720000 is an abundant number, since it is smaller than the sum of its proper divisors (10422688140000).

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

3335454720000 is an frugal number, since it uses more digits than its factorization.

3335454720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The spelling of 3335454720000 in words is "three trillion, three hundred thirty-five billion, four hundred fifty-four million, seven hundred twenty thousand".