3345875679120 has 640 divisors, whose sum is σ = 11690899734528. Its totient is φ = 786010521600.

The previous prime is 3345875679119. The next prime is 3345875679137. The reversal of 3345875679120 is 219765785433.

It is a happy number.

It is a super-2 number, since 2×3345875679120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2804589244 + ... + 2804590436.

It is a 2-persistent number, because it is pandigital, and so is 2⋅3345875679120 = 6691751358240, but 3⋅3345875679120 = 10037627037360 is not.

Almost surely, 2^{3345875679120} is an apocalyptic number.

3345875679120 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 3345875679120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5845449867264).

3345875679120 is an abundant number, since it is smaller than the sum of its proper divisors (8345024055408).

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

3345875679120 is a wasteful number, since it uses less digits than its factorization.

3345875679120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 60.

The spelling of 3345875679120 in words is "three trillion, three hundred forty-five billion, eight hundred seventy-five million, six hundred seventy-nine thousand, one hundred twenty".