3334115400000 has 672 divisors, whose sum is σ = 13747124127744. Its totient is φ = 692793600000.

The previous prime is 3334115399969. The next prime is 3334115400017. The reversal of 3334115400000 is 45114333.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3334115400000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46163917 + ... + 46236083.

It is an arithmetic number, because the mean of its divisors is an integer number (20457029952).

Almost surely, 2^{3334115400000} is an apocalyptic number.

3334115400000 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 3334115400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6873562063872).

3334115400000 is an abundant number, since it is smaller than the sum of its proper divisors (10413008727744).

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

3334115400000 is an equidigital number, since it uses as much as digits as its factorization.

3334115400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72225 (or 72195 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The spelling of 3334115400000 in words is "three trillion, three hundred thirty-four billion, one hundred fifteen million, four hundred thousand".