3374491446144 has 1280 divisors, whose sum is σ = 13305367152000. Its totient is φ = 823653826560.

The previous prime is 3374491446113. The next prime is 3374491446307. The reversal of 3374491446144 is 4416441944733.

3374491446144 is a `hidden beast` number, since 3 + 3 + 7 + 4 + 4 + 9 + 14 + 4 + 614 + 4 = 666.

It is a super-2 number, since 2×3374491446144² (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 nude number because it is divisible by every one of its digits.

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, 978395332 + ... + 978398780.

Almost surely, 2^{3374491446144} is an apocalyptic number.

3374491446144 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 3374491446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652683576000).

3374491446144 is an abundant number, since it is smaller than the sum of its proper divisors (9930875705856).

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

3374491446144 is a wasteful number, since it uses less digits than its factorization.

3374491446144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3552 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 3374491446144 in words is "three trillion, three hundred seventy-four billion, four hundred ninety-one million, four hundred forty-six thousand, one hundred forty-four".