3334315440000 has 320 divisors, whose sum is σ = 11075806170000. Its totient is φ = 888477696000.

The previous prime is 3334315439999. The next prime is 3334315440013. The reversal of 3334315440000 is 445134333.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3334315440000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3334315440000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 371755516 + ... + 371764484.

Almost surely, 2^{3334315440000} is an apocalyptic number.

3334315440000 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 3334315440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537903085000).

3334315440000 is an abundant number, since it is smaller than the sum of its proper divisors (7741490730000).

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

3334315440000 is an equidigital number, since it uses as much as digits as its factorization.

3334315440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10555 (or 10528 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The spelling of 3334315440000 in words is "three trillion, three hundred thirty-four billion, three hundred fifteen million, four hundred forty thousand".