3490143536880 has 1920 divisors, whose sum is σ = 16620136243200. Its totient is φ = 661660876800.

The previous prime is 3490143536827. The next prime is 3490143536899. The reversal of 3490143536880 is 886353410943.

3490143536880 is a `hidden beast` number, since 3 + 4 + 90 + 14 + 3 + 536 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×3490143536880² (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 383 ways as a sum of consecutive naturals, for example, 1347024385 + ... + 1347026975.

It is an arithmetic number, because the mean of its divisors is an integer number (8656320960).

Almost surely, 2^{3490143536880} is an apocalyptic number.

3490143536880 is a gapful number since it is divisible by the number (30) 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 3490143536880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8310068121600).

3490143536880 is an abundant number, since it is smaller than the sum of its proper divisors (13129992706320).

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

3490143536880 is a wasteful number, since it uses less digits than its factorization.

3490143536880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 3490143536880 in words is "three trillion, four hundred ninety billion, one hundred forty-three million, five hundred thirty-six thousand, eight hundred eighty".