3357558876672 has 2160 divisors, whose sum is σ = 14049750892320. Its totient is φ = 760828723200.

The previous prime is 3357558876667. The next prime is 3357558876677. The reversal of 3357558876672 is 2766788557533.

3357558876672 is a `hidden beast` number, since 3 + 3 + 5 + 7 + 558 + 8 + 7 + 6 + 67 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3357558876667) and next prime (3357558876677).

It is a super-2 number, since 2×3357558876672² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3357558876672.

It is not an unprimeable number, because it can be changed into a prime (3357558876677) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7975199022 + ... + 7975199442.

It is an arithmetic number, because the mean of its divisors is an integer number (6504514302).

Almost surely, 2^{3357558876672} is an apocalyptic number.

3357558876672 is a gapful number since it is divisible by the number (32) 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 3357558876672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7024875446160).

3357558876672 is an abundant number, since it is smaller than the sum of its proper divisors (10692192015648).

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

3357558876672 is a wasteful number, since it uses less digits than its factorization.

3357558876672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 476 counting only the distinct ones).

The product of its digits is 1778112000, while the sum is 72.

The spelling of 3357558876672 in words is "three trillion, three hundred fifty-seven billion, five hundred fifty-eight million, eight hundred seventy-six thousand, six hundred seventy-two".