3377861803008 has 2112 divisors, whose sum is σ = 13404218720256. Its totient is φ = 830999347200.

The previous prime is 3377861802941. The next prime is 3377861803013. The reversal of 3377861803008 is 8003081687733.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×3377861803008² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71869400041 + ... + 71869400087.

Almost surely, 2^{3377861803008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3377861803008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702109360128).

3377861803008 is an abundant number, since it is smaller than the sum of its proper divisors (10026356917248).

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

3377861803008 is an equidigital number, since it uses as much as digits as its factorization.

3377861803008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 3377861803008 in words is "three trillion, three hundred seventy-seven billion, eight hundred sixty-one million, eight hundred three thousand, eight".