3483154891944 has 1536 divisors, whose sum is σ = 13139391283200. Its totient is φ = 812456386560.

The previous prime is 3483154891871. The next prime is 3483154891963. The reversal of 3483154891944 is 4491984513843.

3483154891944 is a `hidden beast` number, since 3 + 4 + 8 + 31 + 548 + 9 + 19 + 44 = 666.

3483154891944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 27426416409 + ... + 27426416535.

It is an arithmetic number, because the mean of its divisors is an integer number (8554291200).

Almost surely, 2^{3483154891944} is an apocalyptic number.

3483154891944 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 3483154891944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6569695641600).

3483154891944 is an abundant number, since it is smaller than the sum of its proper divisors (9656236391256).

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

3483154891944 is a wasteful number, since it uses less digits than its factorization.

3483154891944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 247 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 3483154891944 in words is "three trillion, four hundred eighty-three billion, one hundred fifty-four million, eight hundred ninety-one thousand, nine hundred forty-four".