3370928871744 has 1120 divisors, whose sum is σ = 12542068408320. Its totient is φ = 873002188800.

The previous prime is 3370928871631. The next prime is 3370928871769. The reversal of 3370928871744 is 4471788290733.

3370928871744 is a `hidden beast` number, since 3 + 370 + 92 + 8 + 8 + 7 + 174 + 4 = 666.

It is a super-2 number, since 2×3370928871744² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6865435339 + ... + 6865435829.

Almost surely, 2^{3370928871744} is an apocalyptic number.

3370928871744 is a gapful number since it is divisible by the number (34) 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 3370928871744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6271034204160).

3370928871744 is an abundant number, since it is smaller than the sum of its proper divisors (9171139536576).

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

3370928871744 is a wasteful number, since it uses less digits than its factorization.

3370928871744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 3370928871744 in words is "three trillion, three hundred seventy billion, nine hundred twenty-eight million, eight hundred seventy-one thousand, seven hundred forty-four".