3357491490144 has 576 divisors, whose sum is σ = 11067680332800. Its totient is φ = 992506245120.

The previous prime is 3357491490137. The next prime is 3357491490163. The reversal of 3357491490144 is 4410941947533.

It is a happy number.

3357491490144 is a `hidden beast` number, since 3 + 3 + 5 + 7 + 4 + 9 + 1 + 490 + 144 = 666.

It is a super-2 number, since 2×3357491490144² (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 95 ways as a sum of consecutive naturals, for example, 1403045812 + ... + 1403048204.

It is an arithmetic number, because the mean of its divisors is an integer number (19214722800).

Almost surely, 2^{3357491490144} 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 3357491490144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533840166400).

3357491490144 is an abundant number, since it is smaller than the sum of its proper divisors (7710188842656).

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

3357491490144 is a wasteful number, since it uses less digits than its factorization.

3357491490144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3357491490144 in words is "three trillion, three hundred fifty-seven billion, four hundred ninety-one million, four hundred ninety thousand, one hundred forty-four".